Wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

Applications of Exponential Growth and Decay

Total questions: 25

Worksheet time: 2hrs 5mins

Name
Class
Date
1.

An equation in the form y=bx will represent decay if...

a)

b < 0

b)

b > 1

c)

0 < b < 1

2.

Which of the following functions represents exponential DECAY? (Select ALL that apply)

a)

f(x) = 7⋅(2/3)x

b)

f(x) = 7⋅(3/2)x

c)

f(x)= (1/2)⋅(3)x

d)

f(x)= (2)⋅(.33)x

3.

Gasoline costs $1.99 per gallon. If the price per gallon increases an average of 6% per month, which function models the exponential growth of the pricing?

a)

1.06(1.99)t

b)

1.99(1.06)t

c)

[1.06(1.99)]t

d)

1.99(.94)t

4.

You put $2000 in the bank and earn interest at a 2.5% rate compounded yearly. How much will you have after 15 years?

a)

$30,758.65

b)

$2,001.56

c)

$2,908.85

d)

$2,896.60

5.
Does the following equation model growth or decay?
y = 500(.35)x + 7
a)
Growth
b)
Decay
6.
Does the following represent growth or decay?
y = 1/2(3)x + 2
a)
Growth
b)
Decay
7.
Your shiny new boat cost $7650.  The depreciation for your boat is 14% per year. Estimate the value of your vehicle in 3 years. What is the equation that models this problem?
a)
y= 7650(.14)3
b)
y= 7650(.86)3
c)
y= 7650(1+.86/1)3*1
8.
The value of a car is $15,000 and depreciates at a rate of 8% per year. What is the exponential equation?
a)
y=8(15,000)x
b)
y=15,000(1.08)x
c)
y=15,000(0.92)x
d)
y=15,000(0.08)x
9.

Cade earned $475 from mowing lawns last summer. He deposited this money in an account that pays an interest rate of 3.8% compounded yearly. What will be his balance after 15 year?

a)

$827.52

b)

$831.10

c)

$839.45

d)

$846.80

10.
Olivia would like to buy some new furniture for her home. She decides to buy the furniture on credit with 9.5% interest compounded quarterly. If she spent $7,400, how much total will she have paid after 8 years.
a)
$15,415.94
b)
$15,683.28
c)
$15,927.56
d)
$16,109.05
11.
Approximately what interest rate would be needed in order to grow and investment of $1400 to $2500 in 10 years if the interest was compound monthly?
a)
5.96%
b)
5.84%
c)
5.81%
d)
5.88%
12.
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?
a)
y = 1500(1 - 0.015)t
b)
y = 1500(0.015)t
c)
y = 1500(1 + 0.015)t
d)
y = 1500(1.5)t
13.
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?
a)
f(x) = 417(3.75)x
b)
f(x) = 417(0.0375)x
c)
f(x) = 417(1.0375)x
d)
f(x) = 417(1.375)x
14.
Daniel’s Print Shop purchased a new printer for $35,000. Each year it depreciates at a rate of 5%. How much will the printer be worth in 8 years?
a)
$23,219.72
b)
$136.72
c)
$51,710.94
d)
$16,710.94
15.
The number of mosquitoes at the beginning of the summer was 4,000. The population of mosquitoes is expected to grow at a rate of 25% a month. How many mosquitoes will there be after 4 months?
a)
9766
b)
9006
c)
9765
d)
5433
16.
Twenty years ago, Mr. Davis purchased his home for $160,000. Since then, the value of the home has increased about 5% per year. How much is the home worth today?
a)
$176,783.29
b)
$424,527.63
c)
$57,357.75
d)
$532,041,076.80
17.
Is this exponential growth or decay?
a)
Growth
b)
Decay
18.

What is the initial value for the function: f(x) = 300(1.16)x?

a)

300

b)

1.16

c)

.16

d)

x

19.
Which of the following functions shows an initial amount of $15 and an increase of 35% each year?
a)
y = 15(35)x
b)
y = 15(1.35)x
c)
y = 15(0.35)x
d)
y = 35(1.15)x
20.
What is b, the common ratio, for the function: f(x) = 300(1.16)x?
a)
300
b)
1.16
c)
.16
d)
x
21.
Classify the model as Exponential GROWTH or DECAY.
A=1200(.85)6
a)
Growth
b)
Decay
22.
Classify the model as Exponential GROWTH or DECAY.
A=10(1.01)3
a)
Growth
b)
Decay
23.
What type of function is y = 7(5/4)x?
a)
Exponential Growth
b)
Exponential Decay
c)
Linear
d)
None of the above
24.
James' 70 in. giant peach doubles in size every week. Write an expression that would represent how big the peach is after 5 weeks.
a)
70(2)35
b)
70(2)5
c)
2(70)5
d)
5(70)2
25.
A 78 gram sample of Uranium loses half of its mass each year.  What is the exponential equation? 
a)
y=78(0.5)x
b)
y=78(1.5)x
c)
y=78(2)x

Similar Resources on Wayground

MMC Excerpts

20 questions

MMC Excerpts

quiz

Worksheet

•

10th Grade

PTS GENAP X PELUANG 2023

20 questions

PTS GENAP X PELUANG 2023

quiz

Worksheet

•

10th Grade

MÙA ĐÔNG 2021 LB+

20 questions

MÙA ĐÔNG 2021 LB+

quiz

Worksheet

•

5th - 12th Grade

Ôn tập bảng cửu chương

20 questions

Ôn tập bảng cửu chương

quiz

Worksheet

•

1st - 12th Grade

Matematika10mipa_sabilal

20 questions

Matematika10mipa_sabilal

quiz

Worksheet

•

10th Grade

REMED PTS SEM 2 (2020/2021)

20 questions

REMED PTS SEM 2 (2020/2021)

quiz

Worksheet

•

10th Grade

KUIZ MATEMATIK

20 questions

KUIZ MATEMATIK

quiz

Worksheet

•

1st Grade - University

Przekształcanie wykresów funkcji. Funkcja liniowa

22 questions

Przekształcanie wykresów funkcji. Funkcja liniowa

quiz

Worksheet

•

9th - 11th Grade