Modeling with Exponential and Logarithmic Equations

Question 1

Try a few examples to verify that the doubling time is indeed 7 days.

Revolt · Accepted Answer

4; 8; 10; 22

Question 2

The slider only goes up to day 30, but this pond can hold up to 400 water lilies. Estimate the day that the pond will be full. Day

Revolt · Accepted Answer

32

Question 3

Which solution method did you use?

Revolt · Accepted Answer

Graphing y = 3.915(1.106)x and y = 400, then finding the x-value of the intersection

Question 4

The pond can hold 400 water lilies. By what day will the pond be full? Write and solve an equation.The pond will be full by the end of day .

Revolt · Accepted Answer

46

Question 5

Your prediction on the previous page was way too lowtoo lowabout righttoo highway too high.

Revolt · Accepted Answer

way too low

Question 6

Question 26

Revolt · Accepted Answer

Yes; Approximately

Question 7

By the 46th day, there are 400 water lilies in the pond. The estimate you made

Revolt · Accepted Answer

close to 46 (or exactly right) because it was estimated well.

Question 8

The value 1.106 represents:

Revolt · Accepted Answer

The daily growth factor is 1.106, meaning the water lily population grows by 10.6% each day.

Question 9

and b =

Revolt · Accepted Answer

1.106

Question 10

The value 1.106 represents:

Revolt · Accepted Answer

The value 3.915 is the starting amount of water lilies, and 1.106 is the daily growth factor, meaning the population increases by 10.6% daily.

Modeling with Exponential and Logarithmic Equations Answers