AnswersFL-1200330-Algebra 2 CRSolving Exponential and Logarithmic Equations

Modeling with Exponential and Logarithmic Equations Answers

33 verified answers
1
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Drag the slider to see the number of water lilies in the pond each day. Collect the data and fill in the text boxes below.

Answers:
0 days::4
1 day::4
2 days::5
3 days::6
4 days::6
5 days::7
2
Free Preview

1 day:

Answer:

4

3

2 days:

Answer:

5

4

3 days:

Answer:

6

5

4 days:

Answer:

6

6

5 days:

Answer:

7

7

Drag the slider to see the number of water lilies in the pond each day. Collect the data and fill in the text boxes below.

Answers:
10 days::10
15 days::15
20 days::33
25 days::51
30 days::79
8

Your prediction on the previous page was way too lowtoo lowabout righttoo highway too high.

A
way too low
B
too low
C
about right
D
too high
E
way too high
9

The data show that the population of lily pads has a steady ✔ an increasing a decreasing growth rate.

A
a steady
B
✔ an increasing
C
a decreasing
10

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
11

a = ⇒ 3.915

Answer:

15.111 and 1.488

12

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.
13

In terms of the water lily population change, the value 3.915 represents:

Answer:

The initial number of water lilies, approximately 4, which matches the data.

14

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%
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
16

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

Answer:

7

17

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
18

Question text not available

Answers:
Selection 1:Yes
Selection 2:Approximately
19

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

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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