Modeling with Exponential and Logarithmic Equations

Question 1

Predict: Imagine a small pond with just 4 water lilies. Guess how many lilies will be in the pond just a month later:

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Answer

Question 2

function would be most suitable to model these data.

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An exponential

Question 3

a =

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Part 1: 3.915; Part 2: 1.106

Question 4

Did the water lilies double?

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Approximately

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

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PENDING

Question 6

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

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an increasing

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.

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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:

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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

Which two equations below could you solve to find D, the number of days it takes the water lily population to double?

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7.830 = 3.915(1.106)D; 2 = 1.106D

Question 10

Day 0: plants Day 7: plants Did the water lilies double? Day 10: plants Day 17: plants Did the water lilies double?

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Selection 1: Yes; Selection 2: Approximately

Modeling with Exponential and Logarithmic Equations Answers

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