Deck 30: Equations of Change Linear and Exponential Functions

Question 1

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)

Answer 1

Question 2

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 .

Answer 2

f is linear with slope 4.

Question 3

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.

Answer 3

f is exponential with growth factor .

Question 4

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)

Question 5

Both an equation of change and an initial value are required to determine a function.

Question 6

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)

Question 7

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)

Question 8

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)

Question 9

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)

Question 10

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 .

Question 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 .

Question 12

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

Question 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 -5.
C) f is exponential with decay factor -5.
D) f is exponential with decay factor .

Question 14

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 .

Question 15

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 .

Question 16

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)

Question 17

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

Question 18

Exponential population growth satisfies an equation of change of the form .

Question 19

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

Question 20

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

Question 21

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)

Question 22

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)

Question 23

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

Question 24

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)

Question 25

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)

Question 26

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)

Question 27

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)

Question 28

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

Question 29

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)

Question 30

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)