Deck 22: Power Functions

Question 1

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%

Answer 1

y is decreased by 17.79%

Question 2

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

Answer 2

y is multiplied by 47.49

Question 3

The homogeneity property applies to both power functions and exponential functions.

Answer 3

False

Question 4

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%

Question 5

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%

Question 6

Let .If when , what is the value of c? Round your answer to two decimal places if necessary. ​

A)
B)
C)
D)

Question 7

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%

Question 8

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%

Question 9

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

Question 10

For the power function , if x is multiplied by 2, then y is multiplied by .

Question 11

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%

Question 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

Question 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

Question 14

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

Question 15

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%

Question 16

If k is not zero, the graph of the power function is concave up.

Question 17

​Let .If when , what is the value of c? Round your answer to two decimal places if necessary. ​

A)
B)
C)
D)

Question 18

If k is negative, then the power function is a decreasing function for positive values of ​x.

Question 19

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

Question 20

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%

Question 21

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.

Question 22

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%.

Question 23

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.

Question 24

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.

Question 25

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)

Question 26

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.

Question 27

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.

Question 28

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)

Question 29

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.

Question 30

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.

Question 31

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%.

Question 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 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.

Question 33

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.

Question 34

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)

Question 35

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)

Question 36

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.

Question 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.

Question 38

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.

Question 39

Show the graph of when k is a positive number larger than 1. ​

A) ​
B) ​
C) ​
D) ​

Question 40

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.

Question 41

Show the graph of when k is a negative number. ​

A) ​
B) ​
C) ​
D) ​