Quiz about Exponential Growth and Decay Word Problems

Question 1

If something decays at a rate of 2.5% per hour, what would "t" be over two days?

Accepted Answer

48

Answer

2

Answer

24

Answer

.025

Question 2

If something changed at a rate of 3% per week, what would "t" be over a time of one year?

Accepted Answer

52

Answer

1

Answer

7

Answer

12

Question 3

If something changed at a rate of 5% every two minutes, what would "t" be for a time period of 35 minutes?

Accepted Answer

17.5

Answer

35

Answer

17

Answer

2

Question 4

Given the function f(x) = 1.07^x, how do you know this is an exponential function?

Accepted Answer

Because the variable is in the exponent

Answer

Because the base has a decimal in it

Answer

Because f(x) is there

Answer

Because my teacher told me

Question 5

Given the function f(x) = 1.07^x, how do you know the exponential function shows growth or decay?

Accepted Answer

Growth or decay is determined by the value of the base

Answer

Growth or decay is determined by the value of the exponent

Answer

Because exponential functions are always growth functions

Answer

Because exponential functions are always decay functions

Question 6

Given the function f(x) = 1.07^x, is this a growth or decay function?

Accepted Answer

Growth

Answer

Decay

Question 7

Given the function f(x) = 0.92^x, is this a growth or decay function?

Accepted Answer

Decay

Answer

Growth

Question 8

Given the function f(x) = 1.00005^x, is this a growth or decay function?

Accepted Answer

Growth

Answer

Decay

Question 9

Given the function f(x) = 0.0000000435^x, is this a growth or decay function?

Accepted Answer

Decay

Answer

Growth

Question 10

Given the function f(x) = 1.07^x, what was the rate of decay?

Accepted Answer

7%

Answer

.07%

Answer

.7%

Answer

70%

Question 11

Given the function f(x) = 2(1.0045)²⁵ⁿ, what was the rate of decay?

Accepted Answer

.45%

Answer

.045%

Answer

4.5%

Answer

.0045%

Question 12

Given the function f(x) = 1.00005^x, what is the rate of change?

Accepted Answer

.005%

Answer

.0005%

Answer

.05%

Answer

.5%

Question 13

Given the function f(x) = 0.92^x, what is the rate of change?

Accepted Answer

8%

Answer

.92%

Answer

9.2%

Answer

.08%

Question 14

Given the function f(x) = 0.45^x, what is the rate of change?

Accepted Answer

55%

Answer

45%

Answer

4.5%

Answer

5.5%

Question 15

Given f(x) = (1.09)⁴⁵ and the rate of change is 9% every minute, how much time has passed?

Accepted Answer

45 minutes

Answer

9 minutes

Answer

5 minutes

Answer

9 times 45 minutes

Question 16

Given f(x) = (1.11)¹⁸ and the rate of change is 11% every day, how much time has passed?

Accepted Answer

18 days

Answer

11 days

Answer

1.11 times 18 days

Answer

Underterminable

Question 17

Given f(x) = (1.0023)³⁶ and the rate of change is 0.23% every hour, how many minutes have passed?

Accepted Answer

2160

Answer

36

Answer

60

Answer

3600

Question 18

Given f(x) = (0.89)^18.5 and the rate of change is 11% per week, how many days have passed

Accepted Answer

129.5

Answer

18.5

Answer

11

Answer

77

Question 19

In 1985, there were 285 cell phone subscribers in Mayville. The number of subscribers increased by 75% per year after 1985. How many subscribers were in Mayville in 2008? (Verbal Question: What word tells us this is growth or decay?)

Accepted Answer

110,845,988

Answer

111, 043,298

Answer

109,678,401

Answer

110,544,827

Question 20

The population in Haywardsville is decreasing at a rate of 2.5% per year. If the population in 2000 was 28,000, what will be the expected population in 2015 if this rate of decrease continues? (Verbal Question: How do we know this is growth or decay?)

Accepted Answer

19,153

Answer

19,285

Answer

18,956

Answer

19,172

Question 21

The population of a small town is 1600 and is increasing at a rate of 3% per year. Write an exponential function to model this situation. Then find the population of the town after 10 years. (Verbal Question: How do we know this is growth or decay?)

Accepted Answer

f(t) = 1600(1.03)^t; 2,150 people

Answer

f(t) = 1600(0.97)^t; 1,738 people

Answer

f(t) = 1600(1.03)^t; 2,128 people

Answer

f(t) = 1600(0.97)^t; 1,819 people

Question 22

The value of a book is $58 and depreciates at a rate of 7% per year. Write an exponential function to find the value of the book after 8 years. (Verbal Question: How do we know this is growth or decay?)

Accepted Answer

f(t) = 58(0.93)^t; $32.46

Answer

f(t) = 58(1.07)^t; $76.32

Answer

f(t) = 58(0.93)^t; $34.26

Answer

f(t) = 58(1.07)^t; $73.62

Exponential Growth and Decay Word Problems

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