Modeling with Exponential and Logarithmic Equations

Question 1

0 days:

Revolt · Accepted Answer

4; 7

Question 2

5 days:

Revolt · Accepted Answer

7

Question 3

The data show that the population of lily pads has a steady ✔ an increasing a decreasing growth rate.

Revolt · Accepted Answer

✔ an increasing

Question 4

A logarithmic✔ An exponentialA linearA quadratic function would be most suitable to model these data.

Revolt · Accepted Answer

✔ An exponential

Question 5

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 6

and b =

Revolt · Accepted Answer

1.106

Question 7

The graph to the right shows what you should have gotten on the regression calculator. Check all statements below that accurately describe the regression equation.

Revolt · Accepted Answer

Most points lie on or near the regression curve, so it is a good model.; The equation can be used to analyze the population growth, and to estimate values outside of what was collected.

Question 8

In terms of the water lily population change, the value 3.915 represents:

Revolt · Accepted Answer

The value 3.915 represents the initial number of water lilies (the y-intercept), which is approximately 4. The value 1.106 represents the growth factor, indicating that the population grows by about 10.6% each day.

Question 9

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.

Question 10

Which of the following did you include in your description?

Revolt · Accepted Answer

The value of 3.915 is the initial number of water lilies.; It is approximately 4, which matches the data.; The value 1.106 is the growth rate.; The rate represents growth for each day.; The percentage growth each day is 10.6%

Modeling with Exponential and Logarithmic Equations Answers

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