Modeling with Exponential and Logarithmic Equations

Question 1

0 days: 1 day: 2 days: 3 days: 4 days: 5 days:

Revolt · Accepted Answer

4; 2; 8; 16; 32; 1

Question 2

function would be most suitable to model these data.

Revolt · Accepted Answer

An exponential

Question 3

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 4

and b =

Revolt · Accepted Answer

1.106

Question 5

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 6

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

Revolt · Accepted Answer

Answer; 1024

Question 7

Your prediction on the previous page was .

Revolt · Accepted Answer

way too low

Question 8

The data show that the population of lily pads has growth rate.

Revolt · Accepted Answer

an increasing

Question 9

Solve either of the correct equations using any method. Round to the nearest whole number.D = days

Revolt · Accepted Answer

7

Question 10

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

Revolt · Accepted Answer

Day 0:: 4; Day 7:: 8; Day 10:: 10; Day 17:: 22

Modeling with Exponential and Logarithmic Equations Answers

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