# Section 5 -2 Power Functions

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Q 5Q 5

Let .If x is multiplied by 5, how is y affected?
A) y is multiplied by 125
B) y is multiplied by 243
C) 125 is added to y
D) 243 is added to y

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Q 6Q 6

Let .If x is increased by 4%, how is y affected? Round your answer to two decimal places if necessary.
A) y is increased by 2.04%
B) y is increased by 1.22%
C) y is increased by 22.24%
D) y is increased by 21.67%

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Q 7Q 7

Let .If x is decreased by 5%, how is y affected? Round your answer to two decimal places if necessary.
A) y is decreased by 21.19%
B) y is decreased by 20.49%
C) y is decreased by 17.95%
D) y is decreased by 17.79%

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Q 8Q 8

Let .If x is multiplied by 3.97, how is y affected? Round your answer to two decimal places if necessary.
A) y is multiplied by 47.49
B) y is multiplied by 59.6
C) 47.49 is added to y
D) 59.6 is added to y

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Q 9Q 9

Let .If x is multiplied by 1.48, how is y affected? Round your answer to two decimal places if necessary.
A) y is multiplied by 1.78
B) y is multiplied by 0.56
C) 0.56 is added to y
D) 1.78 is added to y

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Q 10Q 10

Let .If x is increased by 1.84%, how is y affected? Round your answer to two decimal places if necessary.
A) y is decreased by 3.46%
B) y is increased by 3.08 %
C) y is increased by 3.46%
D) y is decreased by 3.08%

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Q 11Q 11

Let .If x is decreased by 1.05%, how is y affected? Round your answer to two decimal places if necessary.
A) y is decreased by 1.78%
B) y is increased by 9.22 %
C) y is increased by 1.78%
D) y is decreased by 9.22%

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Q 12Q 12

Let .If x is divided by 3.02, how is y affected? Round your answer to two decimal places if necessary.
A) 0.07 is added to y
B) y is multiplied by 1.35
C) y is multiplied by 0.07
D) 1.35 is added to y

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Q 13Q 13

Let .If y is multiplied by 4, how is x affected? Round your answer to two decimal places if necessary.
A) 1.59 is added to x
B) x is multiplied by 64
C) 64 is added to x
D) x is multiplied by 1.59

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Q 14Q 14

Let .If y is multiplied by 2.05, how is x affected? Round your answer to two decimal places if necessary.
A) 1.24 is added to x
B) x is multiplied by 10.92
C) 10.92 is added to x
D) x is multiplied by 1.24

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Q 15Q 15

Let .If y is increased by 32%, how is x affected? Express your answer in terms of a percent.Round your answer to two decimal places if necessary.
A) x is decreased by 10.91%
B) x is increased by 10.91%
C) x is decreased by 8.67%
D) x is increased by 8.67%

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Q 16Q 16

Let .If y is decreased by 17%, how is x affected? Express your answer in terms of a percent.Round your answer to two decimal places if necessary.
A) x is decreased by 5.8%
B) x is increased by 5.8%
C) x is decreased by 5.16%
D) x is increased by 5.16%

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Q 17Q 17

Let .If x is decreased by 35%, how is y affected? Express your answer in terms of a percent.Round your answer to two decimal places if necessary.
A) y is decreased by 54.15%
B) y is increased by 54.15%
C) y is decreased by 72.15%
D) y is increased by 72.15%

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Q 18Q 18

Let .If x is increased by 33%, how is y affected? Express your answer in terms of a percent.Round your answer to two decimal places if necessary.
A) y is decreased by 35.89%
B) y is increased by 35.89%
C) y is decreased by 37.24%
D) y is increased by 37.24%

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Q 19Q 19

Let .If when , what is the value of c? Round your answer to two decimal places if necessary.
A)
B)
C)
D)

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Q 20Q 20

Let .If when , what is the value of c? Round your answer to two decimal places if necessary.
A)
B)
C)
D)

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Q 21Q 21

The length of skid marks when a car skids to a stop is a power function of the speed the car is traveling when the brakes are applied.It is observed that if the speed is doubled, the skid mark length increases by a factor of 4.What is the value of the power k for this power function? Round your answer to two decimal places if necessary.
A)
B)
C)
D)

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Q 22Q 22

The life expectancy of a star is a power function of its mass.It is observed that if the mass is doubled, the life expectancy is multiplied by 0.18.What is the value of the power k for this power function? Round your answer to two decimal places if necessary.
A)
B)
C)
D)

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Q 23Q 23

The weight of a certain type of fish is a power function of its length.It is observed that if the length is doubled, the weight increases by a factor of 2.93.What is the value of the power k for this power function? Round your answer to two decimal places if necessary.
A)
B)
C)
D)

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Q 24Q 24

The speed for certain animals is related to the stride length by a power function.It is observed that if the stride length is doubled, the speed increases by a factor of 2.33.What is the value of the power k for this power function? Round your answer to two decimal places if necessary.
A)
B)
C)
D)

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Q 25Q 25

The speed for certain animals is related to the stride length by a power function.The value of the power in this function is .If the stride length is doubled, how is the speed affected? Round your answer to two decimal places if necessary.
A) Speed is multiplied by 1.12.
B) Speed is multiplied by 2.08.
C) Speed is multiplied by 2.18.
D) Speed is multiplied by 1.3.

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Multiple Choice

Q 26Q 26

The weight of a certain type of fish is a power function of its length.The value of the power in this function is .If the length is doubled, how is the weight affected? Round your answer to two decimal places if necessary.
A) Weight is multiplied by 1.19.
B) Weight is multiplied by 2.13.
C) Weight is multiplied by 2.96.
D) Weight is multiplied by 1.84.

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Multiple Choice

Q 27Q 27

The length of skid marks when a car skids to a stop is a power function of the speed the car is traveling when brakes are applied.The value of the power in this function is .If the skid length is doubled, how is the speed affected? Round your answer to two decimal places if necessary.
A) Speed is multiplied by 4.
B) Speed is multiplied by 1.52.
C) Speed is multiplied by 1.41.
D) Speed is multiplied by 4.64.

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Multiple Choice

Q 28Q 28

The life expectancy of a star is a power function of its mass.The value of the power in this function is .If the life expectancy is doubled, how is the mass affected? Round your answer to two decimal places if necessary.
A) Life expectancy is multiplied by 6.25.
B) Life expectancy is multiplied by 0.83
C) Life expectancy is multiplied by 0.76.
D) Life expectancy is multiplied by 6.3.

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Q 29Q 29

The life expectancy of a star is a power function of its mass.The value of the power in this function is .If the mass is increased by 43%, how is the life expectancy affected? Round your answer to two decimal places if necessary.
A) Life expectancy is increased by 40.89%
B) Life expectancy is decreased by 40.89%
C) Life expectancy is decreased by 59.11%.
D) Life expectancy is increased by 59.11%.

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Q 30Q 30

The life expectancy of a star is a power function of its mass.The value of the power in this function is .If the mass is decreased by 14%, how is the life expectancy affected? Round your answer to two decimal places if necessary.
A) Life expectancy is increased by 72.07%
B) Life expectancy is decreased by 72.07%
C) Life expectancy is decreased by 45.8%.
D) Life expectancy is increased by 45.8%.

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Multiple Choice

Q 31Q 31

The speed for certain animals is related to the stride length by a power function.The value of the power in this function is .If the stride length is multiplied by 1.09, how is the speed affected? Round your answer to two decimal places if necessary.
A) Speed is multiplied by 1.05.
B) Speed is multiplied by 1.09.
C) Speed is multiplied by 1.49.
D) Speed is multiplied by 1.63.

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Q 32Q 32

The weight of a certain type of fish is a power function of its length.The value of the power in this function is .If the length is multiplied by 1.28, how the is weight affected? Round your answer to two decimal places if necessary.
A) Weight is multiplied by 1.12.
B) Weight is multiplied by 1.31.
C) Weight is multiplied by 2.22.
D) Weight is multiplied by 1.73.

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Multiple Choice

Q 33Q 33

The length of skid marks when a car skids to a stop is a power function of the speed the car is traveling when the brakes are applied.The value of the power in this function is .If the speed is multiplied by 2.59, how is the skid mark length affected? Round your answer to two decimal places if necessary.
A) Speed is multiplied by 6.02.
B) Speed is multiplied by 6.71.
C) Speed is multiplied by 7.69.
D) Speed is multiplied by 6.46.

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Multiple Choice

Q 34Q 34

The life expectancy of a star is a power function of its mass.The value of the power in this function is .If the life expectancy is multiplied by 2.35, how is the mass affected? Round your answer to two decimal places if necessary.
A) Mass is multiplied by 0.71.
B) Mass is multiplied by 0.12.
C) Mass is multiplied by 0.51.
D) Mass is multiplied by 1.12.

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Multiple Choice

Q 35Q 35

The body surface area B of an 80-kilogram man depends on his height h measured in meters.The relationship is . If the height is multiplied by 1.08, how is the body surface area affected? Round your answer to two decimal places if necessary.
A) Body surface area is multiplied by 0.47.
B) Body surface area is multiplied by 1.76.
C) Body surface area is multiplied by 1.04.
D) Body surface area is multiplied by 1.38.

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Multiple Choice

Q 36Q 36

The speed for certain animals is related to the stride length by a power function.The value of the power in this function is .If the speed is multiplied by 1.77, how is the stride length affected? Round your answer to two decimal places if necessary.
A) Stride length is multiplied by 1.83.
B) Stride length is multiplied by 2.53.
C) Stride length is multiplied by 1.71.
D) Stride length is multiplied by 2.33.

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Multiple Choice

Q 37Q 37

The length of skid marks when a car skids to a stop is a power function of the speed the car is traveling when brakes are applied.The value of the power in this function is .If the skid mark length is multiplied by 2.19, how is the speed affected? Round your answer to two decimal places if necessary.
A) Stride length is multiplied by 4.8.
B) Stride length is multiplied by 1.52.
C) Stride length is multiplied by 1.48.
D) Stride length is multiplied by 5.54.

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Multiple Choice

Q 38Q 38

The body surface area B of an 80-kilogram man depends on his height h measured in meters.The value of the power in this function is .If the body surface area is multiplied by 1.03, how is the height affected? Round your answer to two decimal places if necessary.
A) Height is multiplied by 1.01.
B) Height is multiplied by 1.5.
C) Height is multiplied by 1.23.
D) Height is multiplied by 1.06.

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Multiple Choice

Q 39Q 39

The weight of a certain type of fish is a power function of its length.The value of the power in this function is .If the weight is multiplied by 2.94, how is the length affected? Round your answer to two decimal places if necessary.
A) Length is multiplied by 8.64.
B) Length is multiplied by 1.86.
C) Length is multiplied by 1.71.
D) Length is multiplied by 9.13.

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