Quiz about Growth and Decay Rates & Factors

Question 1

To convert decimal to a percent, you multiply the decimal value by 100.

Accepted Answer

True

Answer

False

Question 2

If something has a 5% growth rate, the growth factor is ______.

Accepted Answer

1.05

Answer

1

Answer

1.5

Answer

5

Question 3

25% as a decimal is ______?

Accepted Answer

.25

Answer

2.5

Answer

25

Answer

.025

Question 4

Given the function $$f\left(x\right)=25\left(.4\right)^x$$ the decay rate as a percent is ______?

Accepted Answer

60%

Answer

4%

Answer

.4%

Answer

40%

Question 5

If something has exponential growth, the "b" value is _____?

Accepted Answer

greater than 1

Answer

equal to 1

Answer

less than 1

Answer

between 0 and 1

Question 6

Given the function $$f\left(x\right)=1300\left(.75\right)^x$$ the ".75" is called the ______?

Accepted Answer

Decay Factor

Answer

Growth rate

Answer

Growth Factor

Answer

Decay Rate

Question 7

If something has a 1.5% decay rate, the decay factor is ______.

Accepted Answer

.985

Answer

1.5

Answer

.015

Answer

98.5

Question 8

Given the function $$f\left(x\right)=10\left(1.3\right)^x$$ the "1.3" is called the ______?

Accepted Answer

Growth Factor

Answer

Growth rate

Answer

Decay Rate

Answer

Decay Factor

Question 9

8.9% as a decimal is ______?

Accepted Answer

.089

Answer

.89

Answer

.0089

Answer

8.9

Question 10

If something is decaying by 10% every year, the "10%" is called the ______?

Accepted Answer

Decay Rate

Answer

Growth rate

Answer

Growth Factor

Answer

Decay Factor

Question 11

A 2.5% decay rate is what value as a decay factor?

Accepted Answer

.975

Answer

97.5

Answer

.025

Answer

2.5

Question 12

If something has exponential decay, the "b" value is _____?

Accepted Answer

between 0 and 1

Answer

greater than 1

Answer

less than 1

Answer

equal to 1

Question 13

To convert a percent to a decimal you divide the percent value by 10.

Accepted Answer

False

Answer

True

Question 14

A house was just purchased for $300,000. The value of the home is expected to grow exponentially at a rate of 12.7% per year. Which function represents this situation?

Accepted Answer

$$y=300,000\left(1.127\right)^x$$

Answer

$$y=300,000\left(12.7\right)^x$$

Answer

$$y=300,000\left(.873\right)^x$$

Answer

$$y=300,000\left(13.7\right)^x$$

Question 15

The population of a small town is currently 15,000 people. The town has had limited growth and the population is actually declining at a rate of 8.5% each year. Which function below represents this situation?

Accepted Answer

$$y=15,000\left(.915\right)^x$$

Answer

$$y=15,000\left(91.5\right)^x$$

Answer

$$y=15,000\left(1.85\right)^x$$

Answer

$$y=300,000\left(1.085\right)^x$$

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