Open Notebook Quiz Module 3 Lessons 6-9

Lesson 5: The Power of Exponential Growth

Which company had the greater 15 day late charge ?

• Company 1

• Company 2

• Neither

• They were the same

Lesson 5: The Power of Exponential Growth

How much would the late charge have been after 20 days under Company 2?

• $5,242.88

• $75

• $163.84

• There are no late charges after 20 days.

Lesson 5: The Power of Exponential Growth

How much would the late charge have been after 15 days under Company 2?

• $5,242.88

• $75

• $163.84

• There are no late charges after 15 days.

Lesson 5: The Power of Exponential Growth

Exercise 1: How thick is the stack of toilet paper after 1 fold? After 2 folds? After 5 folds? (Select all that apply)

• 0.002 in,

• 0.004 in

• 0.032 in.

• 0.008 in.

• 0.001 in.

Lesson 5: The Power of Exponential Growth

Exercise 1: Write an explicit formula for the sequence that models the thickness of the folded toilet paper after folds.

• f(n) = 0.002(2^n-1)

• f(n) = 0.001(2^n-1)

• f(n) = 0.002(2ⁿ)

• f(n) = 0.002 + 2(n-1)

Lesson 6: Exponential Growth - U.S Population and World Population

Exercise 1: a.

Is Callie’s observation correct? Why or why not?

• Yes, the world population grew by the same amount as shown by the scale of the vertical axis.

• No, the world population grew by a far greater amount as shown by the scale of the vertical axis.

Lesson 6: Exponential Growth - U.S Population and World Population

Exercise 1:

Is Joe’s observation correct? Why or why not?

• Yes, Joe did just as Callie did. The rate of change (or slope) is the same for the world population as it is for the U.S. population.

• No, Joe ignored the scale, just as Callie did. The rate of change (or slope) is much greater for the world population than for the U.S. population.

Lesson 6: Exponential Growth - U.S Population and World Population

Exercise 1:

Use the World Population graph to estimate the percent increase in world population from 1950 to 2000.

• The percent of increase is 87%

• The percent of increase is 2500%

• The percent of increase is 6000%

• The percent of increase is 140%

Lesson 6: Exponential Growth - U.S Population and World Population

Exercise 1:

Use the U.S. Population graph to estimate the percent increase in the U.S. population for the same time period.

• The percent of increase is 87%

• The percent of increase is 280%

• The percent of increase is 150%

• The percent of increase is 140%

Lesson 6: Exponential Growth - U.S Population and World Population

Exercise 1:

How does the percent increase for the world population compare to that for the U.S. population over the same time period, 1950 to 2000?

• The world population was decreasing at a faster average rate than the U.S. population was

• The world population was increasing at a faster average rate than the U.S. population was.

• The world population was increasing at a slower average rate than the U.S. population was.

• The world population was decreasing at a faster average rate than the U.S. population was.