AnswersJHS-Algebra 1A full yearZero and Negative Exponents

Linear Growth vs. Exponential Growth Answers

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1
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The table below represents a function. x12345y612182430 Which statement would best describe the graph of the function?

A
The graph is a straight line that has a slope of 6.
B
The graph is a horizontal line at y = 6.
C
The graph starts flat but curves steeply upward.
D
The graph is a parabola that opens upward.
2
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The graphs of y = 4x and y = 4x are shown below. In general, how does the growth of y = 4x compare to the growth of y = 4x?

Question illustration
A
The function y = 4x is growing slower than y = 4x.
B
The function y = 4x is growing faster than y = 4x.
C
The functions y = 4x and y = 4x are growing at the same rate.
D
The function y = 4x is growing faster than y = 4x.
4

Which graph represents a linear function?

A
mc002-1.jpg
Option A
B
mc002-2.jpg
Option B
C
mc002-3.jpg
Option C
D
mc002-4.jpg
Option D
5

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.
7

Which graph represents an exponential function?

A
mc001-1.jpg
Option A
B
mc001-2.jpg
Option B
C
mc001-3.jpg
Option C
D
mc001-4.jpg
Option D
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.
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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