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

Modeling with Exponential and Logarithmic Equations Answers

23 verified answers5 views
1
Free Preview

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

Answer:

1

2
Free Preview

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

Answer:

2

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

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

Answer:

1024

12

Your prediction on the previous page was .

A
way too low
B
too low
C
about right
D
too high
E
way too high
13

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

A
a steady
B
an increasing
C
a decreasing
14

function would be most suitable to model these data.

A
A logarithmic
B
An exponential
C
A linear
D
A quadratic
15

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
16

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
17

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.
18

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
19

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

Answer:

7

20

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
21

Question text not available

Answers:
Blank 1:8
Blank 2:10
Blank 3:22
22

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

23

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
24

and b =

Answer:

1.106

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