AnswersFL-1200330-Algebra 2 CRModeling with Exponential and Logarithmic Equations

Modeling with Exponential and Logarithmic Equations Answers

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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
2
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Solve either of the correct equations using any method. Round to the nearest whole number.D = days

Answer:

7

3

Did the water lilies double?

Answers:
Selection 1:Yes
Selection 2:Approximately
4

Day 10: plants

Answer:

10

5

Day 17: plants

Answer:

22

6

Did the water lilies double?

Answer not available
7

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

8

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

Answer:

32768

9

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

Answer:

1048576

10

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

Answer:

33554432

11

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

Answer:

1073741824

12

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
13

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

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

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

Answer:

1

16

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

A
a steady
B
an increasing
C
a decreasing
17

Day 7: plants

Answer:

8

18

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
19

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

Answer:

2

20

function would be most suitable to model these data.

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

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Modeling with Exponential and Logarithmic Equations