AnswersDHS Algebra 2 VSolving Equations using Properties of Logarithms

Modeling with Exponential and Logarithmic Equations Answers

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21
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Solve either of the correct equations using any method. Round to the nearest whole number.D = days

Answer:

7

22
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Day 7: plants

Answer:

8

23

A logarithmic✔ An exponentialA linearA quadratic function would be most suitable to model these data.

A
A logarithmic
B
✔ An exponential
C
A linear
D
A quadratic
24

The value 1.106 represents:

Answer:

The daily growth factor is 1.106, meaning the water lily population grows by 10.6% each day.

25

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
26

Did the water lilies double?

Answers:
Selection 1:Yes
Selection 2:Approximately
27

By the 46th day, there are 400 water lilies in the pond. The estimate you made

A
close to 46 (or exactly right) because it was estimated well.
B
too low because the quick exponential growth was not accounted for.
C
too high because the exponential growth was overestimated.
28

Which of the following did you include in your description?

A
The value of 3.915 is the initial number of water lilies.
B
It is approximately 4, which matches the data.
C
The value 1.106 is the growth rate.
D
The rate represents growth for each day.
E
The percentage growth each day is 10.6%
29

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
30

Which of the following did you include in your description?

A
The value of 3.915 is the initial number of water lilies.
B
It is approximately 4, which matches the data.
C
The value 1.106 is the growth rate.
D
The rate represents growth for each day.
E
The percentage growth each day is 10.6%
31

Did the water lilies double? ✔ YesApproximatelyNo

Answers:
Selection 1:Yes
Selection 2:Approximately
32

By the 46th day, there are 400 water lilies in the pond. The estimate you made

A
close to 46 (or exactly right) because it was estimated well.
B
too low because the quick exponential growth was not accounted for.
C
too high because the exponential growth was overestimated.
33

Day 10: plants

Answer:

10

34

Did the water lilies double? Yes✔ ApproximatelyNo

A
Yes
B
✔ Approximately
C
No
35

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

36

Question text not available

Answers:
Selection 1:Yes
Selection 2:Approximately
37

Day 7: plants

Answer:

8

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