# Section 6 -4 Equations of Change Linear and Exponential Functions

Business

Q 1Q 1

If f satisfies the equation of change where m is a constant, then f is a linear function with slope m.

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True False

True

Q 2Q 2

If f satisfies the equation of change where m is a constant, then f is an exponential function with growth factor .

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True False

True

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True False

False

Q 4Q 4

If f is an exponential function with growth factor , then f satisfies the equation of change .

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True False

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True False

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True False

Q 7Q 7

The difference D between the temperature of an oven and the temperature of an object baking in the oven satisfies an equation of change of the form .

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True False

Q 8Q 8

The difference D between the temperature of a hot but cooling cup of tea and room temperature satisfies an equation of change of the form .

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True False

Q 9Q 9

If f satisfies the equation of change , then what can be said about the function ?
A) f is linear with slope 4.
B) f is linear with slope .
C) f is exponential with growth factor 4.
D) f is exponential with growth factor .

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Multiple Choice

Q 10Q 10

If f satisfies the equation of change , then what can be said about the function ?
A) f is linear with slope .
B) f is linear with slope -5.
C) f is exponential with decay factor -5.
D) f is exponential with decay factor .

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Multiple Choice

Q 11Q 11

If f satisfies the equation of change , then what can be said about the function ?
A) f is linear with slope .
B) f is linear with slope 5.7.
C) f is exponential with growth factor 5.7.
D) f is exponential with growth factor .

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Multiple Choice

Q 12Q 12

If f satisfies the equation of change , then what can be said about the function ?
A) f is linear with slope .
B) f is linear with slope -4.
C) f is exponential with decay factor -4.
D) f is exponential with decay factor .

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Multiple Choice

Q 13Q 13

If f satisfies the equation of change , then what can be said about the function ?
A) f is linear with slope .
B) f is linear with slope 4.
C) f is exponential with growth factor .
D) f is exponential with growth factor 4.

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Multiple Choice

Q 14Q 14

If f satisfies the equation of change , and the initial value of f is 7.94, find a formula for the function .
A)
B)
C)
D)

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Multiple Choice

Q 15Q 15

If f satisfies the equation of change , and the initial value of f is 8, find a formula for the function .
A)
B)
C)
D)

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Multiple Choice

Q 16Q 16

If f satisfies the equation of change , and the initial value of f is 1.1, find a formula for the function .
A)
B)
C)
D)

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Multiple Choice

Q 17Q 17

If f satisfies the equation of change , and the initial value of f is 5, find a formula for the function .
A)
B)
C)
D)

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Multiple Choice

Q 18Q 18

If f satisfies the equation of change , and the initial value of f is 4.3, find a formula for the function .
A)
B)
C)
D)

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Multiple Choice

Q 19Q 19

If f satisfies the equation of change , and the initial value of f is 7.76, find a formula for the function .
A)
B)
C)
D)

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Multiple Choice

Q 20Q 20

A balloon is being inflated at a constant rate of 4 liters of air per minute.If V is the volume, in liters, of the balloon after t minutes, write an equation of change that is satisfied by V.
A)
B)
C)
D)

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Multiple Choice

Q 21Q 21

A balloon is leaking air at a constant rate of 5 liters of air per minute.If V is the volume, in liters, of the balloon after t minutes, write an equation of change that is satisfied by V.
A)
B)
C)
D)

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Multiple Choice

Q 22Q 22

The rate of growth of a population of N individuals is .Write an equation of change that is satisfied by N.
A)
B)
C)
D)

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Multiple Choice

Q 23Q 23

The rate of growth in price of an item that costs N dollars is .Write an equation of change that is satisfied by N.
A)
B)
C)
D)

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Multiple Choice

Q 24Q 24

If a rock falls near the surface of Earth, it has a constant downward acceleration of 9.8 meters per second per second.If V is the downward velocity, in meters per second, of the rock after t seconds, then V satisfies which equation of change?
A)
B)
C)
D)

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Multiple Choice

Q 25Q 25

If a rock falls near the surface of Mars, it has a constant downward acceleration of 3.77 meters per second per second.If V is the downward velocity, in meters per second, of the rock after t seconds, then V satisfies which equation of change?
A)
B)
C)
D)

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Multiple Choice

Q 26Q 26

If a rock is tossed upward near the surface of Earth, then it has a constant downward acceleration of -9.8 meters per second per second.If V is the upward velocity, in meters per second, of the rock after t seconds, then V satisfies which equation of change?
A)
B)
C)
D)

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Multiple Choice

Q 27Q 27

If a rock is tossed upward near the surface of Mars, then it has a constant downward acceleration of -3.77 meters per second per second.If V is the upward velocity, in meters per second, of the rock after t seconds, then V satisfies which equation of change?
A)
B)
C)
D)

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Multiple Choice

Q 28Q 28

The water level in a tank rises 8 inches every minute.Write an equation of change that describes the height H, in inches, of the water at time t minutes.
A)
B)
C)
D)

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Multiple Choice

Q 29Q 29

Which of the following are described by an equation of change of the form ?
A) Exponential population growth
B) Balance of an account subject to compound interest
C) Radioactive decay
D) All of the above

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Multiple Choice

Q 30Q 30

Which of the following are described by an equation of change of the form ?
A) Height of snow on the ground when snow is falling at a constant rate.
B) Depth of water in a cylindrical glass when water is added at a constant rate.
C) Money in a penny bank when pennies are added on a regular basis.
D) All of the above

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Multiple Choice