Quiz about Percent Growth and Decay

Question 1

Classify the model as Exponential GROWTH or DECAY.
A=10(1.01)³

Accepted Answer

Growth

Answer

Decay

Question 2

Classify the model as Exponential GROWTH or DECAY.
A=1200(.85)⁶

Accepted Answer

Decay

Answer

Growth

Question 3

Suppose you deposit $3000 in a savings account that pays interest at an annual rate of 4%. If no other money is added or withdrawn from the account, how much will be in the account after 10 years?

Accepted Answer

$4440.73

Answer

$3122.18

Answer

$4994.50

Answer

$86,776.40

Question 4

Is this exponential growth or decay?

Accepted Answer

Decay

Answer

Growth

Question 5

The value of a car you purchased for $20,000 decreases at a rate of 12% each year. What will the value of the car be after 3 years?

Accepted Answer

$13,629.44

Answer

$12,800.00

Answer

$17,600.00

Answer

$28,098.56

Question 6

A population of 1500 deer decreases by 1.5% per year. At the end of 10 years, there will be approximately 1290 deer in the population. Which function can be used to determine the number of deer, y, in this population at the end of t years?

Accepted Answer

y = 1500(1 - 0.015)^t

Answer

y = 1500(0.015)^t

Answer

y = 1500(1 + 0.015)^t

Answer

y = 1500(1.5)^t

Question 7

There were 417 cell phones sold at an electronics store in January. Since then, cell phone sales at this store have increased at a rate of 3.75% per month. At this rate of growth, which function can be used to determine the monthly cell phone sales x months after January?

Accepted Answer

f(x) = 417(1.0375)^x

Answer

f(x) = 417(3.75)^x

Answer

f(x) = 417(0.0375)^x

Answer

f(x) = 417(1.375)^x

Question 8

Is this exponential growth or decay?

Accepted Answer

Decay

Answer

Growth

Question 9

What function type models this graph?

Accepted Answer

Exponential Growth

Answer

Exponential Decay

Answer

Linear

Answer

None of the above

Question 10

Is this exponential growth or decay?

Accepted Answer

Decay

Answer

Growth

Question 11

Identify whether the following scenario represents exponential growth or decay: The value of a car decreases by 10% each year.

Accepted Answer

Decay

Answer

Growth

Answer

Stagnation

Answer

Increase

Question 12

The population of a city Increased over time. The population in 1990 was 40,000 when they started the survey. $$f\left(x\right)=40000\left(1.05\right)^x$$ represents this situation. What is the growth factor?

Accepted Answer

1.05

Accepted Answer

1+0.05

Answer

40000

Answer

0.05

Question 13

Write the exponential growth or decay equation for the following scenario: The value of a house depreciates by 15% each year. The current value is $300,000.

Accepted Answer

$$y=300000(0.85)^t$$

Answer

$$y=300000(1.15)^t$$

Answer

$$y=300000(0.85)t$$

Answer

$$y=300000(0.15)^t$$

Question 14

Kathy saved $1000 from a summer job. She plans to spend 5% of her savings each week on various forms of entertainment and snacks. The function $$f\left(x\right)\ =\ 1000\left(0.95\right)^x$$ represents this scenario. Is it growth or decay?

Accepted Answer

decay

Answer

growth

Question 15

The expression 1350(1.05)^tmodels the average wages, in dollars, in the US as a function of the number of years since 1930. What does 1.05 represent in this expression?

Accepted Answer

The averages wages in the US increase by about 5% each year.

Answer

The average wages in the US were about $1.05 in 1930.

Answer

The average wages double every 1.05 years.

Question 16

The equation $$f(t)=1.5(1.09)^t$$ models the housing costs, in thousands of dollars, for summer term t years since Chinedu applied to his college. What does 1.09 represent in this equation?

Accepted Answer

The summer housing costs increase by 9% each year.

Answer

The summer housing costs were $1,090 the year that Chinedu applied to his college.

Answer

Chinedu applied to his school 9 years ago.

Question 17

Identify whether the following scenario represents exponential growth or decay: A population of bacteria doubles every hour.

Accepted Answer

Exponential growth

Answer

Exponential decay

Answer

Linear growth

Answer

Logarithmic growth

Question 18

Kathy saved $1000 from a summer job. She plans to spend 5% of her savings each week on various forms of entertainment and snacks. The function $$f\left(x\right)\ =\ 1000\left(1-0.05\right)^x$$ represents this scenario. What is growth or decay rate?

Accepted Answer

0.05

Answer

1000

Answer

$$(1-0.05)$$

Answer

$$\left(1-0.05\right)^x$$

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