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

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

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B: an increasing

Question 3

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

Question 4

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 5

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

Question 6

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

Question 7

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 .

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46

Question 8

function would be most suitable to model these data.

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B: An exponential

Question 9

The value 1.106 represents:

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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

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

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7

Modeling with Exponential and Logarithmic Equations Answers

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