Modeling with Exponential and Logarithmic Equations

Question 1

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 2

10 days: 15 days: 20 days: 25 days: 30 days:

Revolt · Accepted Answer

1048576

Question 3

The general form of an exponential function is y = abx. Use the regression calculator to find the values of a and b for the water lily population growth. Round to the nearest thousandth.

Revolt · Accepted Answer

3.915; 1.106

Question 4

Type the data that you collected (shown right) into the regression calculator. Be sure to choose a good window setting! The general form of an exponential function is y = abx. Use the regression calculator to find the values of a and b for the water lily population growth. Round to the nearest thousandth.

Revolt · Accepted Answer

a =: 3.915; and b =: 1.106

Question 5

Did the water lilies double?

Revolt · Accepted Answer

Yes; Approximately

Question 6

10 days: 15 days: 20 days: 25 days: 30 days:

Revolt · Accepted Answer

33554432

Question 7

and b =

Revolt · Accepted Answer

1.106

Question 8

Day 10: plants

Revolt · Accepted Answer

10

Question 9

10 days: 15 days: 20 days: 25 days: 30 days:

Revolt · Accepted Answer

1073741824

Question 10

Day 17: plants

Revolt · Accepted Answer

22

Modeling with Exponential and Logarithmic Equations Answers

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