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LE.1 [1816849]StudentClassDate
1. Which of these represents a situation in which one quantity changes at a constant rate per unit interval?
/files/assess_files/4879ba5c-0a93-41e6-98c1-9017f0a55417/formula_sheets/FL-IBTP_Math_Reference_Sheet_Grade_9-12.pdf
FL-IBTP_Math_Reference_Sheet_Grade_9-12.pdf
A. The population of a sample of bacteria decreases by 25% every hour.
B. Every year, Albert’s salary increases by 5%.
C. The value of a machine depreciates at the rate of 12% every year.
D. Every month, John saves 5% of his salary.
2. George is planning to take a long trip in his car. The table below shows the total distance George estimates he will cover after each hour.
Which statement is correct?
/files/assess_files/d8cff2ae-5fd4-4713-87db-e0aec617432a/formula_sheets/FL-IBTP_Math_Reference_Sheet_Grade_9-12.pdf
FL-IBTP_Math_Reference_Sheet_Grade_9-12.pdf
A. The distance is increasing by a constant percentage each hour, so the data can be modeled by a linear function.
B. The distance is increasing by a constant percentage each hour, so the data can be modeled by an exponential function.
C. The distance is increasing at a constant rate each hour, so the data can be modeled by a linear function.
D. The distance is increasing at a constant rate each hour, so the data can be modeled by an exponential function.
3. Which situation can be represented by a linear function?
A. the area of a circular tabletop with radius r
B. the radius of a circular tabletop with area A
C. the area of a circular tabletop with circumference C
D. the radius of a circular tabletop with circumference C
4. Kelsie gets paid by her employer at a constant rate per hour. Which table could represent the amount, in dollars, that Kelsie was paid during the last 4 weeks?
A.
B.
C.
D.
5. Which situation can be modeled by a linear function?
A. The perimeter of a square that has a side length of 14x2.
B. The area of a rectangle that has a width of 2x and a length of 3x – 7.
C. The volume of a cone that has a height of 4 and a base diameter of 3x.
D. The surface area of a prism that has a length of 6, a width of 4, and a height of 2x.
6. Which scenario is best modeled by an exponential function?
A. the amount of gasoline, y, used to drive a car x miles
B. the amount of a radioactive substance, y, that is remaining after x days
C. the amount of money, y, that Jason makes if he works x hours at his job
D. the distance a car travels, y, in 2 hours at a speed of x miles per hour
7. The amount of carbon 14 decays in an exponential fashion. Which table could show the approximate amount of carbon 14 over the 5-year interval shown?
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FL-IBTP_Math_Reference_Sheet_Grade_9-12.pdf
A.
B.
C.
D.
8. Which situation could be modeled by the equation y = 1.5(1.01)x?
A. an oak tree that starts out 1.5 feet tall and grows by 1% annually
B. an oak tree that starts out 1.5 feet tall and grows by 1.01 feet annually
C. a tuna that starts out at 1.01 feet long and grows by 50% annually
D. a tuna that starts out at 1.01 feet long and grows by 1.5 feet annually
9. Which graph shows a function that is growing by a constant percentage rate per unit interval?
/files/assess_files/79c21e79-2003-48c1-8641-abc18988f581/formula_sheets/FL-IBTP_Math_Reference_Sheet_Grade_9-12.pdf
FL-IBTP_Math_Reference_Sheet_Grade_9-12.pdf
A.
B.
C.
D.
10. Values for the function are shown in the table.
Which statement proves that is an exponential function?
A. All of the values of are odd numbers.
B. All of the values of are multiples of 3.
C. The function grows by equal factors over equal intervals.
D. The function grows by equal differences over equal intervals.
11. The table shows the population of California during the 20th century.
Population of California
Year Population(in millions)
1900 1.49 1910 2.381920 3.431930 5.681940 6.911950 10.61960 15.71970 20.01980 23.71990 29.8
What type of function best models this data?
A. linear
B. quadratic
C. exponential
D. logarithmic
12. Which scenario describes a process of exponential growth?
A. A 14-foot tree grew by 10% in 2009 and then by 5% in 2010.
B. A software virus had infected 10,000 new computers on Monday and 20,000 more on Tuesday.
C. An insect population grew by 40% over the course of January and then grew by 40% again in February.
D. A pool of water loses 3 milliliters due to evaporation between noon and 1 p.m. and another 3 milliliters between 1 p.m. and 2 p.m.
13. Which situation is best modeled by an exponential function?
A. Pam receives $1 allowance for each chore that she
completes.
B. Sue receives $14 in allowance, but her mother deducts $2 for every
chore not completed.
C. Jenny receives 14% of her total allowance each day that she completes
her chores.
D. Carla earns $20 in allowance, but her mother deducts half the amount
each day when chores are not completed.
14. In the equation y = 2(x + 5), if x is increased by 3, then y is increased by
A. 3
B. 5
C. 6
D. 11
15. A function is shown in the table.
Which sentence justifies the claim that the function is a linear function?
A. All the outputs are odd numbers.
B. All the outputs are positive numbers.
C. The function grows by equal factors over equal intervals.
D. The function grows by equal differences over equal intervals.
16. Which type of function best fits the data in the table below?
x y 1 32 3 10 5 4 7 1
A. exponential decay
model
B. exponential growth
model
C. linear model with positive
slope
D. linear model with negative
slope
17. Four students in a class created a pattern of five numbers. The table below shows the pattern each student created.
Term 1 Term 2 Term 3 Term 4 Term 5
Ashley 2 4 8 16 32 Hector 25 31 37 43 49 Jamal 5,000 1,000 200 40 8
Karina 350 50 250 850 1,150
Which student created a pattern that changes by a constant amount from term to term?
A. Ashle
y
B. Hecto
r
C. Jamal
D. Karina
18.
Monica did an experiment to compare two methods of warming an object. The results are shown in the table below.
Time (Hours
)
Method 1 Temperature
(°F)
Method 2 Temperature
(°F)
0 0 1.51 5 32 11 63 15 124 19 245 25 48
Which statement best describes her results?
A. The temperature using both methods changed at a constant rate.
B. The temperature using both methods changed
exponentially.
C. The temperature using Method 2 changed at a constant rate.
D. The temperature using Method 2 changed
exponentially.
19. The value of a piece of land has doubled every 25 years since it was purchased in 1950. Which type of function best models the value of the land x years after 1950 and why?
A. a linear function because the value of the land increases at a constant
percent rate every 25 years
B. an exponential function because the value of the land increases at a
constant percent rate every 25 years
C. a linear function because the value of the land increases by a constant
amount every 25 years
D. an exponential function because the value of the land increases by a
constant amount every 25 years
20. The amount in grams, of a certain radioactive substance that remains after
where the initial amount of the substance at t = 0.approximately how much of the substance will remain after 5 years?
A. 42 grams
B. 93 grams
C. 104
grams
D. 110 grams
21. As part of a science experiment, a student observes the growth of a population of bacteria in four different media. The table below lists the observations the student made.
In which media can the change in the population of bacteria be modeled by a linear function?
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FL-IBTP_Math_Reference_Sheet_Grade_9-12.pdf
A. media I and II
B. media I and III
C. media II and IV
D. media III and IV
22. Which situation is best modeled by an exponential function?
A. A restaurant charges $5.75 per meal, plus 7.5% tax.
B. A cab company charges a flat fee of $2.50, plus $0.45 per mile traveled.
C. The number of cell phone subscribers increased by 75% per year for the
last 20 years.
D. Water pressure is 14.7 pounds per square inch at sea level and increases
an additional 14.7 pounds per square inch for every 10 meters of depth.
23. A scientist was studying the tree frog population in a small region of the Everglades. The table below shows the results of his study for several weeks.
If the trend in the table continues, approximately how many tree frogs will there be at the end of Week 16?
A. 320
B. 400
C. 480
D. 640
24. Which distance can be modeled as a linear function of time?
A. the distance traveled by a car moving at 40 miles per hour
B. the distance traveled by a train decelerating by 2 miles per hour per minute
C. the distance traveled by a car as it comes to a stop over a length of 100 meters
D. the distance traveled by a train as it increases speed from 30 to 35 miles per hour
25. The food production index is a yearly measure of agricultural production. The table shows the food production index for a seven-year span.
World Food ProductionIndex Year Food Production Index2005 100.02006 102.52007 106.12008 110.32009 111.72010 114.22011 117.6
What type of function best models this data?
A. linear
B. quadratic
C. exponential
D. logarithmic
26. In which function is the population, y, increasing by 50 each month, x?
A. y = 50x + 100
B. y = 100(50)x
C. y = 100x + 50
D. y = 50(100)x
27. The table shows the relationship between x and y.
x y
1 4 4 13 6 19 9 28
What is the increase in the value of y as the value of x increases by 1?
A. 3
B. 4
C. 6
D. 9
28. Which table of values could represent an exponential function?
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FL-IBTP_Math_Reference_Sheet_Grade_9-12.pdf
A. x y1 22 43 84 16
B. x y2 44 86 128 16
C. x y3 154 125 96 6
D. x y4 115 146 177 20
29. Which table of values represents an exponential function?
A. x f(x) 1 3 2 9 3 27
4 81 5 243
B. x f(x) 1 9 2 12 3 15 4 18 5 21
C. x f(x) 1 5 2 18 3 37 4 62 5 93
D. x f(x) 1 3 2 6 3 9 4 12 5 15
30. Which scenario would best be modeled by an exponential growth function?
A. the salary of a worker who makes $8 every hour
B. the population of a town that is doubling every decade
C. the population of a virus that is reducing in number by half every hour
D. the amount of commision a worker makes who earns 8% commission on
his total sales
31. A table of x and y values is shown below.
x y
1 4.25 4 5 5 5.25 8 6 13 7.25
As the value of x increases by 2, what is the increase in the value of y?
A. 1.25
B. 0.75
C. 0.50
D. 0.25
32. The table below lists the number of items, N, manufactured by a factory and the corresponding cost, C, to manufacture that many items.
Which of these best identifies the interval where the cost is increasing at a constant rate?
/files/assess_files/c6a6b958-1353-466c-b03b-da988ce0df3b/formula_sheets/FL-IBTP_Math_Reference_Sheet_Grade_9-12.pdf
FL-IBTP_Math_Reference_Sheet_Grade_9-12.pdf
A. when only
B. when only
C. for no values of N
D. for all the values of N
33. Which of these is a correct statement about the functions and ?
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FL-IBTP_Math_Reference_Sheet_Grade_9-12.pdf
A. On the interval the value of increases by 5 and the value of increases by 5.
B. On the interval the value of is multiplied by 5 and the value of is multiplied by 5.
C. For each unit increases on the interval the value of is
multiplied by 5 and the value of increases by 5.
D. For each unit increases on the interval the value of
increases by 5 and the value of is multiplied by 5.
34. Which statement could be used to prove that the function grows by equal differences over any x-interval of 4 units?
A. The value of equals the slope.
B. The value of equals 4 times the slope.
C. The value of equals the slope.
D. The value of equals 4 times the slope.
35. In the table below, what value for w will make f(x) a linear
function?
x f(x)
–6 10 –3 6 0 w 3 –2 6 –6
A. 0
B. 2
C. 3
D. 4
36. Which choice could be modeled by an exponential function?
A. the speed of a car that is decreasing by 3 mph every minute
B. the number of push-ups a person does each day if the number of push-
ups increases by 2 each day
C. the amount a person gets paid if the person’s pay increases by 2 percent
each year
D. the number of students in a class if no students join or leave the class
37. Which of the following situations is not best modeled by a linear function?
A. The height of a ball as it is thrown up in the air and falls back to the ground, as a function of time.
B. The total distance run around a track as a function of the number of laps around the track.
C. The distance traveled by a train moving at a constant speed, as a function of time.
D. The price of a piece of fabric that varies directly with the length of the piece of fabric, as a function of the length.
38. James has $640. The table below shows his total amount saved for the next five weeks.
Which statement is correct?
/files/assess_files/4061f2de-e78c-4ef7-918e-c5b7a0a5652d/formula_sheets/FL-IBTP_Math_Reference_Sheet_Grade_9-12.pdf
FL-IBTP_Math_Reference_Sheet_Grade_9-12.pdf
A. The total amount he saved increases by $125 every week, so the data can be modeled by a linear function.
B. The total amount he saved increases by $125 every week, so the data can be modeled by an exponential function.
C. The amount he saves every week is increasing by approximately 16%, so the data can be modeled by a linear function.
D. The amount he saves every week is increasing by approximately 16%, so the data can be modeled by an exponential function.
39. Mariah has a job that earns a pay raise of 2.5% per year for every year that she works. Which type of function would model Mariah’s pay after t years?
A. linear function with a positive slope
B. linear function with a negative
slope
C. exponential growth
function
D. exponential decay
function
40. In 1950, scientists found an object with 40,000 grams of lead. Twenty-two years later, the object decayed to 20,000 grams of lead. Forty-four years from the initial date, the object decayed to 10,000 grams of lead. Based on this data, what is a good prediction for the grams of lead in the object by the year 2060?
A. 625
B. 1250
C. 2500
D. 5000
41. Values for the function g(x) are shown in the table.
Which statement proves that is an exponential function?
A. All values of g(x) are fractions.
B. All values of g(x) are positive numbers.
C. The function g(x) decreases by equal factors over equal intervals.
D. The function g(x) grows by equal differences over equal intervals.
42. A scientist is growing bacteria in his lab. The table shows his estimations of the bacterial population as a function of time.
Bacterial Population as aFunction of Time
Time(hours)
Number ofBacteria
0 41 302 2203 16004 12,000
What type of function best models this data?
A. linear
B. quadratic
C. exponential
D. logarithmic
43. Which table best shows y as an approximation of an exponential function of x?
/files/assess_files/2b3e16b6-fc1e-4732-bd64-4bca0756131e/formula_sheets/FL-IBTP_Math_Reference_Sheet_Grade_9-12.pdf
FL-IBTP_Math_Reference_Sheet_Grade_9-12.pdf
A.
B.
C.
D.
44. The population of a colony of bacteria cells grows with time. The table shows the population of cells on each day for 6 days.
BacteriaPopulation
Day Number of Cells
1 1002 2003 4004 8005 16006 3200
What type of data are the population of cells as a function of time?
A. Exponential
B. Linear
C. Quadratic
D. Sinusoidal
45. The volume of a cylinder can be found by multiplying the constant by the cylinder height and then by the square of the cylinder radius. If the cylinder radius is a fixed value and the
cylinder height varies, which term describes the type of relationship between the volume and the height?
A. square root
B. linear
C. quadratic
D. constant
46. Which equivalence statement could be used to prove that is an exponential function?
A.
B.
C.
D.
47. Sarah asked her mother to help her save money to buy a bike. Which situation could be represented by a linear function?
A. Sarah’s mother will give her $10 each week.
B. Sarah’s mother will give her 5% of what she saves each week.
C. Sarah’s mother will give her $5 each week, plus 1% of what Sarah has
saved.
D. Sarah’s mother will give her $2 the first week, $4 the second week, $8
the third week, and so on.
48. A researcher collected the following data while studying the radioactivity of an unknown substance. She recorded the decays per minute (dpm) as a function of time.
Radioactivity Measurements Time
(minutes)Radioactivity
(dpm)0 10001 7072 5003 3544 250
What type of function best models this data?
A. linear
B. quadratic
C. exponential
D. logarithmic
49. The table shows a linear relationship between x and y.
x y
–8 –4
–4 –1 0 2 4 5
As the value of x increases by 3, what is the increase in the value of y?
A. 2.50
B. 2.25
C. 1.75
D. 1.50
50. A scientist studying a population of birds discovered that the number of birds doubled every year. Which function would best represent this situation?
A. linear function with a growth rate of 200% every year
B. linear function with a growth rate of 100% every year
C. exponential function with a growth rate of 200% every year
D. exponential function with a growth rate of 100% every year
51. Which situation illustrates a quantity changing at a constant rate per unit interval relative to another?
A. the money earned over time by an employee whose salary is a constant hourly rate
B. the amount a radioactive substance with a constant half-life decays over time
C. the volume of a balloon with a radius that is increasing at a constant rate
D. the area of a square with a side length that is increasing at a constant rate
52. Jaymee is making bracelets to sell at her school’s craft fair. She makes an initial purchase of $50 of yarn and sells the bracelet for $2 a piece. This situation is best modeled by what type of equation?
A. cubic
function
B. exponential
function
C. linear
function
D. quadratic
function
53. Which table represents 10% annual growth in an annual budget over the entire period shown?
A.
B.
C.
D.
54. Which statement best describes the x-y pattern shown below?
x –2 –1 0 1 2 3
y –6 –5 –4 –3 –2 –1
A. y is 4 less than x.
B. y is 4 more than x.
C. y is 4 less than x, only if x is negative.
D. y is 4 more than x, only if x is negative.
55. A car is purchased for $30,000. The value of the car depreciates annually so that it is $24,000 after 1 year, $19,200 after 2 years, and $15,360 after 3 years. Why can this
situation be modeled using an exponential function?
A. The value of the car depreciates annually by 20%.
B. The value of the car depreciates annually by 80%.
C. The value of the car depreciates annually by $6,000.
D. The value of the car depreciates annually by $4,800.
56. Which statement best describes the data in the table below?
x y
–4 –8 –1 –5 0 –4 2 –2
A. The value of y is 4 more than the value of x.
B. The value of y is 4 less than the value of x.
C. The value of y is 2 less than twice the value of x.
D. The value of y is 2 less than four times the value of x.
57. Which scenario is best modeled by a linear function?
A. the height of a rocket x seconds after it is launched from a 20-foot tall
platform
B. the amount of a radioactive element that decreases by half every x 10-year periods
C. the total population of a town that has changed by 2% every x years
D. the total price paid for x shirts that are on sale for half off
58. A function, models the depth of water in a wading pool that is filling at a rate of 11 gallons per minute. Which of these describes why can be considered a linear function?
I. For every 1 minute interval, the depth of water in the wading pool increases by the same amount.
II. The function grows by equal factors every minute.
III. The slope of the function is constant.
A. I only
B. I and III only
C. II and III only
D. I, II, and III
59. Function is shown below.
Which proof shows that is a linear function that grows to by an equal difference of d?
A.
B.
C.
D.
60. Rowan wants to justify that is a linear function. If she evaluated for consecutive integer values, which statement justifies the claim that f is a linear function?
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FL-IBTP_Math_Reference_Sheet_Grade_9-12.pdf
A. There is a common difference of for when x increases by 1.
B. There is a common factor of for when x increases by 1.
C. There is a common difference of for when x increases by 1.
D. There is a common factor of for when x increases by 1.
61. Sam opens a savings account and deposits some money in the account every month. The table below shows the value of his savings account over a period of 10 months.
Over which interval of time can the relation in the table be modeled by a linear function?
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A. 1 to 6 months
B. 1 to 10 months
C. 6 to 10 months
D. 7 to 10 months
62. Given the exponential function which proof shows that grows to by an equal factor?
A.
B.
C.
D.
63. The salaries of employees at a company increase by $1,000 for every year of experience. Which type of function best models the salary of an employee after x years?
A. constant
function
B. linear
function
C. quadratic
function
D. exponential
function
64. The table below shows the population of bacteria in a lab sample.
Which of these statements best explains what is happening to the population over this time interval?
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FL-IBTP_Math_Reference_Sheet_Grade_9-12.pdf
A. The population is increasing at a constant rate.
B. The population is decreasing at a constant rate.
C. The population is increasing by a constant percent rate.
D. The population is decreasing by a constant percent rate.
65. Which equation can be used to prove that the exponential function grows by equal factors from x to x + k?
A.
B.
C.
D.
66. Which of the following statements best describes the data in the table below?
x
y
2
1
4
5
7
11
10
17
A. As the value of x increases by 1, the value of y increases by 4.
B. As the value of x increases by 1, the value of y increases by 6.
C. As the value of x increases by 1, the value of y increases by 1.
D. As the value of x increases by 1, the value of y increases by 2.
67. Which statement represents a situation in which a quantity is changing at a constant rate
per unit interval?
A. Bacteria in a petri dish triple every 12 hours.
B. Water in a pool is draining every 5 seconds.
C. Money in a savings account is compounded daily at 3.5% interest.
D. The braking distance of a car is proportional to the square of its speed.
68. Which situation represents exponential growth over time?
/files/assess_files/9cd37138-7898-491b-a22d-be97e94f651d/formula_sheets/FL-IBTP_Math_Reference_Sheet_Grade_9-12.pdf
FL-IBTP_Math_Reference_Sheet_Grade_9-12.pdf
A. The number of ants in a population that increases by 1,000 ants each day.
B. The temperature of a glass of water that increases by 10 degrees every half hour until it reaches room temperature.
C. The number of people who go to a play if each person who sees the play returns the next evening and
brings 2 friends.
D. The size of a population of bacteria that increases by 1,000 in the first hour, then by 1,000 during the next 2 hours, then by 1,000 during the next 4 hours, and continues to grow according to the same pattern.
69. Which situation can be represented with a linear graph where the volume of water in a tub is a function of time?
A. A faucet pumps water into a tub at a rate of 2 gallons per minute.
B. A tub loses one-fifth of the remaining water each minute as it is drained.
C. A tub is filled at a rate of 2 gallons per minute and then drained at a rate of 3 gallons per minute.
D. A faucet pumps water into a tub at a rate of 3 gallons per minute as 5% of its volume is drained per minute.
70. The value of a machine is decreasing by a constant percent rate each year. Which table could represent the possible value of the machine at the end of each year?
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FL-IBTP_Math_Reference_Sheet_Grade_9-12.pdf
A.
B.
C.
D.
71. The graph shows the increase of the population growth of an insect colony over time.
Which situation could this graph represent?
A. The colony’s population is reaching a maximum
level.
B. The population of the colony is slowing in its rate of growth.
C. The colony’s population is increasing by about 10% per year.
D. The population of the colony grows by about 1000 members per year.
72. Health agencies collect data on the spread of diseases. Having this data allows them to better combat the spread of disease. The table shows the incidence of tuberculosis over a period of eight years.
World Incidence ofTuberculosis
Year Number(per 100,000 people)
2005 1422006 1392007 1362008 1332009 1302010 1282011 1252012 122
What type of function best models this data?
A. linear
B. quadratic
C. exponential
D. logarithmic
73. The population of a town begins at 36,550 people and changes by 3% each year. Two years after the initial population was calculated, there are 34,390 people in the town. Which of these best describes the type of function that would represent this situation?
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A. increasing linear
B. decreasing linear
C. exponential decay
D. exponential growth
74. Jasmine currently has sixteen songs downloaded in her music player. She is going to add two new songs a month to her player. Which type of function would best model Jasmine’s total number of songs in her player after each month?
A. cubic
function
B. exponential
function
C. linear
function
D. quadratic
function
75. Which scenario describes a pattern of exponential decay?
A. A backgammon competition has 10 players exiting after each round of games.
B. A table tennis club has had 10, 9, and 8 new members in three years, respectively.
C. A billiards organization lost 5%, 4%, and 3% of its members in three years, respectively.
D. An elimination chess tournament has half the number of players in each successive round.
76. A tennis tournament starts with 120 players. During each round of play, half of the players are eliminated from the tournament. What type of function best models the relationship between the number of players in the tournament, y, and the round of play, x?
A. A linear function, because the number of players is changing at a
constant rate per unit interval.
B. A linear function, because the number of players is changing at a
constant percent rate per unit interval.
C. An exponential function, because the number of players is changing at a
constant rate per unit interval.
D. An exponential function, because the number of players is changing at a
constant percent rate per unit interval.
77. Brandon deposited $250 into a checking account that does not earn interest. Each month he
withdrew $10 and then deposited $45 into the account. Which type of function best models the amount of money that Brandon has in his account after x months?
A. exponential function with a growth rate of $55 per month
B. exponential function with growth rate of $35 each month
C. linear function with a rate of change of $55 each month
D. linear function with a rate of change of $35 each month
78. Data on the world’s total labor force from 2005 to 2012 are shown in the table below.
World Total Labor Force
Year Number of People(in billions)
2005 3.0112006 3.0492007 3.0852008 3.1202009 3.1532010 3.1842011 3.2332012 3.280
What type of function best models this data?
A. linear
B. quadratic
C. exponential
D. logarithmic
79. Consider the data shown in the table.
The data are best modeled by which type of function?
A. linear
B. quadratic
C. logarithmic
D. exponential
80. Janine memorized 360 vocabulary words during the school year. Each week during the summer, Janine remembered 3% fewer words than the week before.
Which type of function would best represent the number of vocabulary words Janine remembered during the summer?
/files/assess_files/27e79452-16bc-459f-9097-7d3af25f2c6b/formula_sheets/FL-IBTP_Math_Reference_Sheet_Grade_9-12.pdf
FL-IBTP_Math_Reference_Sheet_Grade_9-12.pdf
A. linea
r
B. quadratic
C. exponential growth
D. exponential decay
81. Which table of values represents a linear function?
A. x f(x) 4 12 5 15 6 18.75 7 23.4375
B. x f(x) 4 15 7 24 9 30
15 48
C. x f(x) 1 10 2 11 3 10 4 7
D. x f(x) –1 3.375 0 4.5 1 6 2 8
82. Jeremy is working with the linear function He chose four x-values and performed the following steps.
• Let
What conclusion can Jeremy make based on his proof?
A. Linear functions grow by a factor of the slope.
B. Linear functions grow by a multiple of the y-intercept.
C. Linear functions grow by equal differences over equal intervals.
D. Linear functions grow by increasing differences over equal intervals.
83. The table below shows some inputs and outputs of function f(x).
Which statement best describes the function?
/files/assess_files/35ae1873-885f-4d89-baf7-b3ec9c5f14a6/formula_sheets/FL-IBTP_Math_Reference_Sheet_Grade_9-12.pdf
FL-IBTP_Math_Reference_Sheet_Grade_9-12.pdf
A. f(x) is a linear function because x is doubling in each row of the table.
B. f(x) is an exponential function because x is doubling in each row of the table.
C. f(x) is a linear function because f(x) is increasing by 4 for each increase in x by 1.
D. f(x) is an exponential function because f(x) is increasing by 4 for each increase in x by 1.
84. At the beginning of an experiment, there are 100 bacteria in a certain culture. If the number of bacteria doubles every hour, how many bacteria will be in the culture at the end of 6 hours?
A. 200
B. 600
C. 3200
D. 6400
85. A copy machine depreciates at the rate of 15% each year. If the original cost of the copy machine was $20,000, what is the approximate value of the machine at the end of 3 years?
A. $14,450
B. $14,000
C. $12,283
D. $11,000
86. Which grid shows a set of points that best represents a linear relationship between x and y?
A.
B.
C.
D.
87. The table below represents the total vertical distance covered by a hiker as she ascends a mountain.
Is the hiker’s ascent represented by a linear function or an exponential function, and why?
/files/assess_files/e6234758-c3e0-4661-b54d-3fa034592aed/formula_sheets/FL-IBTP_Math_Reference_Sheet_Grade_9-12.pdf
FL-IBTP_Math_Reference_Sheet_Grade_9-12.pdf
A. The table represents a linear function because the height is increasing by equal
factors over equal intervals.
B. The table represents a linear function because the height is increasing by equal
differences over equal intervals.
C. The table represents an exponential function because the height is increasing by
equal factors over equal intervals.
D. The table represents an exponential function because the height is increasing by
equal differences over equal intervals.
88. Which table shows a bank account balance that increases by a constant amount each month?
A.
B.
C.
D.
89. At the beginning of an experiment, there are 1000 bacteria in a certain culture. If the number of bacteria triples every day, how many bacteria will be in the culture after 4 days?
A. 16,000
B. 27,000
C. 81,000
D. 243,000
90. Which values should be added to the table below in the order shown to prove that is a linear function?
A. 2, 16, 30
B. 2, 18, 32
C. 3, 17, 31
D. 4, 16, 32
91. Which type of function best models the data shown in the table below?
x y 0 4 1 5 2 7 3 11 4 19
A. a linear function, because y is changing at a constant rate per unit interval of x
B. a linear function, because y is changing at a constant percent rate per unit
interval of x
C. an exponential function, because y is changing at a constant rate per unit
interval of x
D. an exponential function, because y is changing at a constant percent rate per
unit interval of x