Linear Growth vs. Exponential Growth Answers…

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?

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.

2

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Barry’s Bagel Emporium sells a dozen bagels for $5.00. This price is no longer high enough to create a profit. The owner decides to raise the price. He does not want to alarm his customers with too large of an increase. He is considering four different plans.Plan A: Raise the price by $0.05 each week until the price reaches $8.00.Plan B: Raise the price by 10 percent each week until the price reaches $8.00.Plan C: Raise the price by the same amount each week for 6 weeks, so that in the sixth week the price is $8.00.Plan D: Raise the price by $0.25 each week until the price reaches $8.00.Which plan will result in the price of the bagels reaching $8.00 fastest?

A

plan A

B

plan B

C

plan C

D

plan D

3

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

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

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

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

A

252

B

396

C

864

D

1,296

6

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

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

7

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.

8

Which graph represents an exponential function?

A

mc001-1.jpg

B

mc001-2.jpg

C

mc001-3.jpg

D

mc001-4.jpg

9

Which table represents an exponential function?

A

mc019-1.jpg

B

mc019-2.jpg

C

mc019-3.jpg

D

mc019-4.jpg

10

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.

11

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.

12

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.

13

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:

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.

14

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

A

square root

B

linear

C

exponential

D

quadratic

15

Which graph represents an exponential function?

A

Option

B

Option

C

Option

D

Option

16

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

A

252

B

396

C

864

D

1,296

17

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

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

18

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.

19

Barry’s Bagel Emporium sells a dozen bagels for $5.00. This price is no longer high enough to create a profit. The owner decides to raise the price. He does not want to alarm his customers with too large of an increase. He is considering four different plans.Plan A: Raise the price by $0.05 each week until the price reaches $8.00.Plan B: Raise the price by 10 percent each week until the price reaches $8.00.Plan C: Raise the price by the same amount each week for 6 weeks, so that in the sixth week the price is $8.00.Plan D: Raise the price by $0.25 each week until the price reaches $8.00.Which plan will result in the price of the bagels reaching $8.00 fastest?

A

plan A

B

plan B

C

plan C

D

plan D

20

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

Linear Growth vs. Exponential Growth Answers

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