AnswersDHS Algebra 2 VBase e

Modeling with Exponential and Logarithmic Equations Answers

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

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2

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

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4

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

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

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16

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

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32

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

Answer:

1

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

Answer:

1024

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Question text not available

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Blank 1:10
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10

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

A
a steady
B
an increasing
C
a decreasing
11

function would be most suitable to model these data.

A
A logarithmic
B
An exponential
C
A linear
D
A quadratic
12

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.

Answers:
Blank 1:3.915
Blank 2:1.106
13

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.

Answers:
a =:3.915
and b =:1.106
14

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.

A
Some points do not lie on the regression curve, so it is not a good model.
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.
15

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

A
2 = 3.915(1.106)D
B
7.830 = 3.915(1.106)D
C
7.830 = 3.915(2)D
D
2 = 1.106D
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Solve either of the correct equations using any method. Round to the nearest whole number.D = days

Answer:

7

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

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

Answer:

32

19

Which solution method did you use?

A
Logarithms
B
Graphing y = 3.915(1.106)x and tracing
C
Graphing y = 3.915(1.106)x and y = 400, then finding the x-value of the intersection
20

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 .

Answer:

46

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