Name_____________________________________________ Date _____________________________________ 7th Math Extended Exit Ticket – Proportional Reasoning

1. The graph shows the distance in miles, d,

a car travels in t hours.

a) What is the constant of proportionality

(k)?

b) Write an equation in the form of y = kx.

c) What does your equation mean in the

context of the graph?

2. Which table represents a proportional

relationship?

a)

b)

c)

d)

3. The following table shows a proportional

relationship. Find the missing value.

4. Which is the best buy? Defend your

answer with proof on a separate piece of

paper.

a) $12.60 for 7 bottles of juice

b) $10.98 for 6 bottles of juice

c) $18.10 for 10 bottles of juice

d) $16.38 for 9 bottles of juice

5. The graph below shows the price Joanna

sells tomatoes according to their weight.

Which equation represents the unit rate?

Pick one!

y =

x or y =

x

6. This is an input-output table with x as

the input and y as the output. This table

shows a proportional relationship

between x and y.

What is the constant of proportionality

between x and y? Show all your work

and write your answer as a decimal.

7. The graph below shows the relationship

between pounds of cheese bought at a

deli and the total cost, in dollars, for the

cheese.

Select each statement about the graph

that is true. Select all that apply.

a) The point (0, 0) shows the cost is

$0.00 for 0 pounds of cheese.

b) The point (1.5, 6) shows that 6

pounds of cheese cost $1.50.

c) The point (1, 4) shows the cost is

$4.00 for 1 pound of cheese.

d) The (0.25, 1) shows the cost is $0.25

for 1 pound of cheese.

e) The point (0.5, 2) shows that 0.5

pound of cheese costs $2.00.

8. The number of grams of protein is

proportional to the number of servings.

Based on the graph, how many grams of

protein will 7 servings provide?

Answer ________________________

9. What is the unit rate for line A?

Write it in the form of y = kx.

Answer _______________________

10. A pizza restaurant uses the equation:

y = 1.5x + 10, where y is the total cost of

a pizza, and x is the number of additional

toppings. Does this equation represent a

proportional relationship? How do you

know?

11. According to the table below, is the

number of feet proportional to the

number of minutes? Why or why not?

Time (Minutes)

2 3 4 5

Distance (Feet)

3 4½ 6 7.5

CONSTRUCTED RESPONSE

When a song is sold by an online music store, the store takes some of the money and the singer gets the rest. The graph below shows how much money a pop singer makes given the total amount of money brought in by one popular online music store from sales of the song.

a. Identify the constant of proportionality between dollars earned by the pop singer and dollars brought in by sales of the song.

b. Write an equation relating dollars earned by the pop singer, y, to dollars brought in by sales of the song, x.

c. According to the proportional relationship, how much money did the song bring in from sales in the

first week, if the pop star earned $800 that week?

d. Describe what the point (0, 0) on the graph represents in terms of the situation being described by the graph.

Possible alternate questions:

1) If

gallon of paint covers

of a wall, then how much paint is needed for the entire wall?

2) A student is making trail mix. Using the table below, create a graph to show the relationship

between cups of fruit and cups of nuts. Is this a proportional relationship? If the graph does

not show a proportional relationship, then explain why not. If the graph shows a proportional

relationship, then determine the constant of proportionality and explain how it relates to both

the table and graph.

Serving Size 1 2 3 4

Cups of Nuts (x) 1 2 3 4

Cups of Fruit (y) 2 4 6 8

3) The table below gives the price for different numbers of books. Is the price proportional to

the number of books?

Number of

Books

Price

1 3

3 9

4 12

7 18

4) A train traveled

of the distance between two cities in

hour. At this rate, how many hours

will it take the train to travel the entire distance between these two cities?

a)

b)

c) 3

d) 6

5) Ellie walks

mile in

hour. Sophie walks

mile in

hour. Who is walking at a faster pace?

Defend your answer with proof!

6) Bargain DVDs cost $5 each at Mega Movie. Graph the proportional relationship that gives the

cost y in dollars of buying x bargain DVDs.

Give an ordered pair on the graph and explain its meaning in the real world context.

Ordered pair: _______________

Meaning:________________________

12. A worker has to drive her car as part of her job. She receives money from her company to

pay for the gas she uses. The table shows a proportional relationship between y, the amount

of money that the worker receives, and x, the number of work-related miles driven.

Write an equation that can be used to determine the total amount of money, y, the worker receives

for driving x work-related miles. Show your work below.

Answer____________________________