# Section 4 -2 Constant Percentage Change

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Q 7Q 7

If an investment earns interest that is compounded, then the balance will show exponential growth.

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Q 8Q 8

If the compound interest rate on an investment is small, then the value of the investment will never grow very fast.

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Q 9Q 9

If a function increases by 5% each year, then the yearly growth factor is
A) 1.05
B) 5
C) 0.05
D) 0.95

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Q 10Q 10

A function , where t is measured in years, increases by 8% each year.Its initial value is 17.A formula for F is
A)
B)
C)
D)

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Q 11Q 11

If a function decreases by 7% each year, then the yearly decay factor is
A) 1.07
B) 7
C) 0.07
D) 0.93

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Q 12Q 12

If t is increased by 1, then is increased by what percentage?
A) 91%
B) 0.09%
C) 1.09%
D) 9%

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Q 13Q 13

If t is increased by 1, then is decreased by what percentage?
A) 85%
B) 15%
C) 0.85%
D) 0.15%

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Q 14Q 14

The monthly percentage growth rate for a certain exponential function is 3%.By what percentage does the function grow in a year? Round your answer to two decimal places if necessary.
A) 43.07%
B) 42.58%
C) 35.64%
D) 36%

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Q 15Q 15

The monthly percentage decay rate for a certain exponential function is 6%.By what percentage does the function decay in a week? (Assume there are four weeks in a month.) Round your answer to two decimal places if necessary.
A) 1.53%
B) 1.58%
C) 0.8%
D) 1.5%

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Q 16Q 16

I got a salary increase of 6% each year for 8 years.What is the total percentage increase in my salary over the 8-year period? Round your answer to two decimal places if necessary.
A) 47.01%
B) 60.23%
C) 59.38%
D) 48%

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Q 17Q 17

A quantity increases by 7% each month for 11 months.What is the total percentage increase over the 11-month period? Round your answer to two decimal places if necessary.
A) 76.41%
B) 110.86%
C) 110.49%
D) 77%

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Q 18Q 18

A quantity decreases by 8% each week for 7 weeks.What is the total percentage decrease over the 7-week period? Round your answer to two decimal places if necessary.
A) 55.91%
B) 44.37%
C) 56%
D) 44.22%

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Q 19Q 19

A population N declines by 7% each year.The initial population is 5,056.The population after t years is given by
A)
B)
C)
D)

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Q 20Q 20

A population N grows by 8% each year.The initial population is 7,389.The population after t years is given by
A)
B)
C)
D)

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Q 21Q 21

The formula for an exponential function is , where t is measured in months.Then the monthly percentage growth rate for y is
A) 1.08%
B) 8%
C) 0.08%
D) 8.02%

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Q 22Q 22

The formula for an exponential function is , where t is measured in months.Then the monthly percentage decay rate for y is
A) 0.94%
B) 6.01%
C) 0.06%
D) 6%

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Q 23Q 23

A population is growing at a constant yearly percentage rate of 7%.The initial population is 570.What will be the population after 14 years? Round your answer to the nearest whole number.
A) 1,157
B) 1,485
C) 1,470
D) 1,129

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Q 24Q 24

A radioactive substance is decaying at a constant yearly percentage rate of 6%.The initial amount is 444 grams.How much will remain after 13 years? Round your answer to two decimal places if necessary.
A) 100.68 grams
B) 198.63 grams
C) 199.7 grams
D) 97.68 grams

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Q 25Q 25

Over a certain period of time, a precious metal doubled in price every 6 years.What was the yearly percentage growth rate for the price of this metal during this period? Round your answer to two decimal places if necessary.
A) 33.79%
B) 12.25%
C) 12.75%
D) 33.33%

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Q 26Q 26

The half-life of a certain radioactive substance is 5 years.What is the yearly percentage decay rate for this substance? Round your answer to two decimal places if necessary.
A) 10.65%
B) 12.94%
C) 13.87%
D) 10%

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Q 27Q 27

Next year's value of a certain quantity is 6% of last year's value.
Which of the following can you conclude?
A) The quantity grows exponentially.
B) The quantity grows linearly.
C) The quantity decays exponentially.
D) The quantity decays linearly.

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Q 28Q 28

Next year's value of a certain quantity is 107% of last year's value.
Which of the following can you conclude?
A) The quantity grows exponentially.
B) The quantity grows linearly.
C) The quantity decays exponentially.
D) The quantity decays linearly.

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Q 29Q 29

The initial value of one function is 31.It has a constant percentage growth rate of 9%.The initial value of a second function is 113.It has a constant percentage decay rate of 10%.If t is the independent variable for both functions, for what value of t are the two functions equal? Round your answer to two decimal places if necessary.
A)
B)
C)
D)

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Q 30Q 30

A function shows constant percentage growth.Which of the following may be the graph of this function?
A)
B)
C)
D)

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Q 31Q 31

A function shows constant percentage decay.Which of the following may be the graph of this function?
A)
B)
C)
D)

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