AnswersDHS Algebra 2 VSolving Equations using Properties of Logarithms

Modeling with Exponential and Logarithmic Equations Answers

37 verified answers1 views
1
Free Preview

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

A
a steady
B
an increasing
C
a decreasing
2
Free Preview

function would be most suitable to model these data.

A
A logarithmic
B
An exponential
C
A linear
D
A quadratic
3

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
4

and b =

Answer:

1.106

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

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.
9

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

10

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.

11

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
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

Predict: Imagine a small pond with just 4 water lilies. Guess how many lilies will be in the pond just a month later:

Answer:

Answer

14

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
15

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.
16

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.

17

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
18

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

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 value 1.106 represents:

Answer:

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

Did you find these answers helpful?

More from this Course

Assignment
36 verified answers

Solving Equations using Properties of Logarithms

Assignment
20 verified answers

Solving Equations using Properties of Logarithms

Assignment
34 verified answers

Solving Equations using Properties of Logarithms