Quiz about Exponential Growth & Decay + Compound Interest

Question 1

Write an equation that models the following situation:
Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.

Accepted Answer

y=6(1.14)^x

Answer

y=6(0.14)^x

Answer

y=6(1+14)^x

Answer

y=6(0.86)^x

Question 2

What type of function is $$y=700\left(\frac{5}{4}\right)^x$$

Accepted Answer

Exponential Growth

Answer

Exponential Decay

Answer

Linear

Answer

None of the above

Question 3

Classify the model as Exponential GROWTH or DECAY.
A=1200(0.85)⁶

Accepted Answer

Decay

Answer

Growth

Question 4

What is a, the initial amount, for the function: f(x) = 300(1.16)^x?

Accepted Answer

300

Answer

1.16

Answer

.16

Answer

x

Question 5

A 78 gram sample of Uranium loses half of its mass each year.  What is the exponential equation?

Accepted Answer

y=78(0.5)^x

Answer

y=78(1.5)^x

Answer

y=78(2)x

Question 6

Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Write an equation that represents this situation.

Accepted Answer

y=5000(0.7)^x

Answer

y=30(5000)^x

Answer

y=5000(1.3)^x

Answer

y=5000xx

Question 7

Which of the following functions shows an initial amount of $15 and an increase of 35% each year?

Accepted Answer

y = 15(1.35)^x

Answer

y = 15(35)^x

Answer

y = 15(0.35)^x

Answer

y = 35(1.15)^x

Question 8

What type of function is $$f\left(x\right)=800\left(\frac{2}{7}\right)^x$$ ?

Accepted Answer

Exponential Decay

Answer

Exponential Growth

Answer

Linear

Answer

None of the Abovee

Question 9

What is the decay rate in the following model?

A=1200(0.85)⁶

Accepted Answer

.15

Answer

1200

Answer

.85

Answer

6

Question 10

Is y = 5(1.04)^x growth or decay?

Accepted Answer

Growth

Answer

Decay

Question 11

Is y = 4(0.20)^x growth or decay?

Accepted Answer

Decay

Answer

Growth

Question 12

The number of fish in a pond can be modeled by the following exponential function where x is the number of years.

$$y=1750\left(0.84\right)^x$$

Is this growth or decay?

Accepted Answer

Decay because the b value is 0.84

Answer

Growth because the b value is 0.84

Answer

Growth because the b value is 1750

Answer

Decay because the b value is 1750

Question 13

The population of a small town is 2300 and is increasing at a rate of 5% per year. Write an equation to model this situation.

Accepted Answer

$$y=2300\left(1.05\right)^x$$

Answer

$$y=5x+2300$$

Answer

$$y=0.05x+2300$$

Answer

$$y=2300+5^x$$

Answer

$$y=2300\left(0.05\right)^x$$

Question 14

The population of a virus in a lab is modeled by the function shown, where t is time in months.

$$y=125\left(0.92\right)^x$$

By what percent is the population of the virus decreasing?

Accepted Answer

By 8%

Answer

By 0.92%

Answer

By 92%

Answer

By 0.08%

Answer

By 0.8%

Question 15

A new car was purchased for $45,000. The car depreciates at a rate of 5% each year. Write an equation to model the situation.

Accepted Answer

$$y=45,000\left(0.95\right)^t$$

Answer

$$y=45,000-5t$$

Answer

$$y=45,000\left(-5\right)^t$$

Answer

$$y=45,000+\left(0.95\right)t$$

Answer

$$y=45,000\left(-0.95\right)^t$$

Question 16

The cost of bread during each month of the year 2022 is modeled by the following function where x is the number of months.

$$y=2.59\left(1.046\right)^x$$

The value of bread is increasing by what percent?

Accepted Answer

By 4.6%

Answer

By 1.046%

Answer

By 0.046%

Answer

By 0.46%

Answer

By 46%

Question 17

Write an equation that models the following situation:
Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.

Accepted Answer

y=6(1.14)^x

Answer

y=6(0.14)^x

Answer

y=6(1+14)^x

Answer

y=6(0.86)^x

Question 18

James' 70 in. giant peach doubles in size every week. Write an expression that would represent how big the peach is after 5 weeks.

Accepted Answer

70(2)5

Answer

70(2)35

Answer

2(70)5

Answer

5(70)2

Question 19

Which of the following functions shows an initial amount of $15 and an increase of 35% each year?

Accepted Answer

y = 15(1.35)^x

Answer

y = 15(35)^x

Answer

y = 15(0.35)^x

Answer

y = 35(1.15)^x

Question 20

Classify the model as Exponential GROWTH or DECAY.
A=1200(0.85)⁶

Accepted Answer

Decay

Answer

Growth

Question 21

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

Accepted Answer

Growth

Answer

Decay

Question 22

Pick the equation that is exponential decay

Accepted Answer

y=2000(0.88)

Answer

y=0.5(1.88)

Question 23

Maddy took 400mg of Advil at 3:00pm. Each hour, her body eliminates half of the medicine from her system.

Do you think this situation would be exponential growth or decay?

Accepted Answer

decay

Answer

growth

Question 24

What is the formula for exponential decay?

Accepted Answer

$$f\left(x\right)=a\left(1-r\right)^x$$

Answer

$$f\left(x\right)=a\left(1+r\right)^x$$

Question 25

What is the formula for exponential growth?

Accepted Answer

$$f\left(x\right)=a\left(1+r\right)^x$$

Answer

$$f\left(x\right)=a\left(1-r\right)^x$$

Question 26

Convert the percent to a decimal:

9%=

Accepted Answer

.09

Answer

.9

Answer

900

Answer

.009

Question 27

Convert the percent to a decimal:

27%=

Accepted Answer

.27

Answer

2.7

Answer

270

Answer

.027

Question 28

Convert the percent to a decimal.

3.5%=

Accepted Answer

.035

Answer

.35

Answer

3.5

Answer

.0035

Question 29

12.7% as a decimal

Accepted Answer

.127

Answer

127

Answer

1.27

Answer

.0127

Question 30

Change this decimal to a percent:
0.52

Accepted Answer

52%

Answer

.52%

Answer

5.2%

Answer

.052%

Question 31

Change this decimal to a percent.
0.528

Accepted Answer

52.8%

Answer

528%

Answer

5.28%

Answer

52%

Question 32

Write 0.14 as a percent.

Accepted Answer

14%

Answer

1.4%

Answer

140%

Answer

0.14%

Question 33

Write the decimal as a percent
0.1

Accepted Answer

10%

Answer

100%

Answer

.1%

Answer

0.01%

Question 34

Write the decimal as a percent
0.04

Accepted Answer

4%

Answer

0.4%

Answer

40%

Answer

400%

Question 35

Write the percent as a decimal
26.3%

Accepted Answer

0.263

Answer

2.63

Answer

26.3

Answer

263

Question 36

Write the percent as a decimal
0.9%

Accepted Answer

0.009

Answer

0.09

Answer

0.9

Answer

90

Question 37

Write the percent as a decimal
1.52%

Accepted Answer

0.0152

Answer

0.152

Answer

15.2

Answer

152

Question 38

Write the percent as a decimal
8.45%

Accepted Answer

0.0845

Answer

0.845

Answer

8.45

Answer

84.5

Question 39

Write the decimal as a percent
0.0913

Accepted Answer

9.13%

Answer

91.3%

Answer

0.913%

Answer

0.0913%

Question 40

Semi-Annually means how many times a year?

Accepted Answer

2

Answer

4

Answer

1

Answer

6

Question 41

Monthly means how many times a year?

Accepted Answer

12

Answer

4

Answer

52

Answer

365

Question 42

Annually means how many times a year?

Accepted Answer

1

Answer

4

Answer

2

Answer

6

Question 43

Quarterly means how many times a year?

Accepted Answer

4

Answer

2

Answer

1

Answer

6

Question 44

Karla invested $1,000 in savings bonds. If the bonds earn 6.75% interest compounded semi-annually.

Which exponential equation can be used to find how much money Karla will earn in 15 years?

Accepted Answer

Option B is correct

Answer

A.

Answer

C.

Answer

D.

Question 45

Avery invested $1,000,000 in corporate bonds. The bonds earn 5.5% interest compounded quartely.

Which exponential equation can be used to find how much money Avery will have in 6 years?

Accepted Answer

$$A=1,000,000\left(1+\frac{0.055}{4}\right)^{4\cdot6}$$

Answer

$$A=1,000,000\left(1+\frac{0.55}{4}\right)^{4\cdot6}$$

Answer

$$A=1,000,000\left(1+\frac{5.5}{4}\right)^{4\cdot6}$$

Answer

$$A=1,000,000\left(\frac{5.5}{4}\right)^{4\cdot6}$$

Answer

$$A=1,000,000\left(\frac{0.055}{4}\right)^{4\cdot6}$$

Question 46

Sydney deposited $50,000 in her savings account. The account earns 3.25% interest compounded monthly.

Which exponential equation can be used to find how much money Sydney will earn in 3 years?

Accepted Answer

$$A=50,000\left(1+\frac{0.0325}{12}\right)^{12\cdot3}$$

Answer

$$A=50,000\left(1+\frac{0.325}{12}\right)^{12\cdot3}$$

Answer

$$A=50,000\left(1+\frac{3.25}{12}\right)^{12\cdot3}$$

Answer

$$A=50,000\left(\frac{3.25}{12}\right)^{12\cdot3}$$

Answer

$$A=50,000\left(\frac{0.03255}{12}\right)^{12\cdot3}$$

Question 47

What does the t stand for in this formula?

Accepted Answer

Time

Answer

Initial amount

Answer

Final amount

Answer

Rate

Answer

The number of times compounded per year

Question 48

What does the A stand for in this formula?

Accepted Answer

Final amount

Answer

Initial amount

Answer

Rate

Answer

Time

Answer

The number of times compounded per year

Question 49

What does the r stand for in this formula?

Accepted Answer

Rate

Answer

Initial amount

Answer

Final amount

Answer

Time

Answer

The number of times compounded per year

Question 50

What does the P stand for in this formula?

Accepted Answer

Initial amount

Answer

Final amount

Answer

Rate

Answer

Time

Answer

The number of times compounded per year

Exponential Growth & Decay + Compound Interest

51 questions

Write an equation that models the following situation:
Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.

Classify the model as Exponential GROWTH or DECAY.
A=1200(0.85)⁶

What is a, the initial amount, for the function: f(x) = 300(1.16)^x?

A 78 gram sample of Uranium loses half of its mass each year. What is the exponential equation?

Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Write an equation that represents this situation.

Which of the following functions shows an initial amount of $15 and an increase of 35% each year?

What is the decay rate in the following model?
A=1200(0.85)⁶

Is y = 5(1.04)^x growth or decay?

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Exponential Growth & Decay + Compound Interest

51 questions

Write an equation that models the following situation:Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.

Classify the model as Exponential GROWTH or DECAY.A=1200(0.85)6

What is a, the initial amount, for the function: f(x) = 300(1.16)x?

A 78 gram sample of Uranium loses half of its mass each year. What is the exponential equation?

Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Write an equation that represents this situation.

Which of the following functions shows an initial amount of $15 and an increase of 35% each year?

What is the decay rate in the following model?A=1200(0.85)6

Is y = 5(1.04)x growth or decay?

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Write an equation that models the following situation:
Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.

Classify the model as Exponential GROWTH or DECAY.
A=1200(0.85)⁶

What is a, the initial amount, for the function: f(x) = 300(1.16)^x?

What is the decay rate in the following model?
A=1200(0.85)⁶

Is y = 5(1.04)^x growth or decay?