Add three consecutive letters of the alphabet to the group of letters below, without splitting the...
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- Slide 1
- Add three consecutive letters of the alphabet to the group of
letters below, without splitting the consecutive letters, to form
another word. DY
- Slide 2
- STUDY
- Slide 3
- Which month comes next? January, March, June, October, March,
?
- Slide 4
- September
- Slide 5
- All widgets are green. Everything green has a hole in the
middle. Some things that are green have a jagged edge. Therefore:
1. All widgets have a hole in the middle 2. Everything with a
jagged edge is a widget. 3. Neither of the above is true. 4. Both
the above are true.
- Slide 6
- 1. All widgets have a hole in the middle
- Slide 7
- Week 2
- Slide 8
- Your sister is selling Girl Scout cookies for $2.60 a box. Shes
already made $15.60. Write an equation for the situation above: y =
2.60x + 15.60 How much does she make after selling 10 more boxes? y
= 2.60 (10) + 15.60 = $41.60
- Slide 9
- How many boxes does she have to sell to make $130? (y = 2.60x +
15.60) 130 = 2.60x + 15.60 (subtract 15.60 from both sides) 114.40
= 2.6x (divide both sides by 2.6) x = 44
- Slide 10
- y=5x-9 Solve for y when x = 2. y = 5(2)-9 y = 1 Solve for x
when y = 6. 6 = 5x 9 (next: add 9 to both sides) 15 = 5x (next:
divide both sides by 5) x = 3
- Slide 11
- We learned about linear modeling. Model: y = mx +b Graph:
straight line
- Slide 12
- Exponential Modeling x is an exponent.
- Slide 13
- EXPONENTIAL GROWTHEXPONENTIAL DECAY Model: y = a(1+r) x y:
final a: initial r: rate x: time Model: y = a(1-r) x y: final a:
initial r: rate x: time
- Slide 14
- Graph:
- Slide 15
- Populations tend to growth exponentially not linearly When an
object cools (e.g., a pot of soup), the temperature decreases
exponentially toward the ambient temperature (the surrounding
temperature) Radioactive substances decay exponentially Bacteria
populations grow exponentially Money in a savings account with at a
fixed rate of interest increases exponentially Viruses and even
rumors tend to spread exponentially through a population (at first)
Anything that doubles, triples, halves over a certain amount of
time Anything that increases or decreases by a percent
- Slide 16
- Difference: Linear: Constant Rate of Change Exponential:
Constant Percent Change How can you tell? Linear, if it increases
by the same or decreases by the same Exponential, calculate the
percent change and see if it stays constant Percent change =
(changed- reference)/reference
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- exponential growth?
- Slide 18
- Slide 19
- Slide 20
- The percent change is 20% each time. So it is an exponential
function.
- Slide 21
- Two bosses A: one million dollars for one month B: a penny
doubled every day for a month Who would you work for?
- Slide 22
- Boss B Day 1: $.02 Day 2: $.04 Day 3: $.08 Day 10: $10.24 Day
20: $10,485.76 Change of mind?
- Slide 23
- Calculations y = a (1+r) x y =.01 (1+1) 30 y =
10,737,418.24
- Slide 24
- Growth (savings account) y = a(1+r) x Decay (radioisotope
dating) y = a(1-r) x
- Slide 25
- If roaches grow at a rate of 25% every 10 days, how long will
it take 400 roaches to become 1000 in number?
- Slide 26
- Slide 27
- Slide 28
- Drag it down Right click on the + at the right bottom Move down
with the mouse
- Slide 29
- Slide 30
- A little bit after 40 days
- Slide 31
- Dead Sea Scrolls have about 78% of the normally occurring
amount of Carbon 14 in them. Carbon 14 decays at a rate of about
1.202% per 100 years. How old are the Dead Sea Scrolls?
- Slide 32
- Since we know the rate of decay per every 100 years, make the
excel table have intervals of 100 years. (after entering 0 and 100,
you can select the two and drag down)
- Slide 33
- Slide 34
- Slide 35
- Answer: between 2000 to 2100 years old
- Slide 36
- Activity 2, 3 Homework 2