AnswersHigh School Math 2 ALinear Growth vs. Exponential Growth

Lesson 8.7: Linear Growth vs. Exponential Growth Answers

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1
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Which graph represents an exponential function?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
2
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Which of the following best describes how the y values are changing over each interval?xy12024038041605320

A
They are increasing by 20 each time.
B
They are increasing by 40 each time.
C
They are being multiplied by 2 each time.
D
They are being multiplied by 4 each time.
3

Which table represents an exponential function?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
4

Mary creates a table of values for a function and plots the points. She finds that the difference in the y values is the same. What kind of function did she graph?

A
linear
B
quadratic
C
square root
D
exponential
5

Margo is given the graph below.What type of graph is shown, and what is the growth factor?

Question illustration
A
linear function; growth factor of 2
B
linear function; growth factor of 4
C
exponential function; growth factor of 2
D
exponential function; growth factor of 4
6

The table below represents a function. x12345y116642561,024 Which statement would best describe the graph of the function?

A
The graph is a straight line that has a slope of 8.
B
The graph is a horizontal line at y = 16.
C
The graph starts flat but curves steeply upward.
D
The graph is a parabola that opens upward.
7

What kind of growth model (pattern) is shown in the table? xy152253125462553,125

A
square root
B
linear
C
exponential
D
quadratic
8

The graph below shows two different deer populations over the same ten year period. Deer PopulationWhich of the following answers is the best description for the deer population with the greatest growth rate:

Question illustration
A
The blue line shows a deer population that grew with an exponential growth rate. In the first year the population increased by only one deer, but between years seven and eight the population grew by two deer, showing that the growth rate continuously doubles.
B
The blue line shows a deer population that grew with a linear growth rate, because the graph shows that the population increased by approximately one deer per year.
C
The red line shows a linear growth rate, because an approximate straight line estimates a growth rate of five deer per year.
D
The red line demonstrates an exponential growth rate, because the growth rate for the deer population is itself continuously increasing.
9

What is the missing number in the table?x12345y636216???7,776

A
252
B
396
C
864
D
1,296
10

Which of the following best describes how the y values are changing over each interval?xy1428312416520

A
They are increasing by 4 each time.
B
They are increasing by 6 each time.
C
They are being multiplied by 2 each time.
D
They are being multiplied by 4 each time.

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