WorksheetsExponential Growth and Decay
Total questions: 20
Worksheet time: 1hrs 19mins
Name
Class
Date
1.
A population of fish starts at 8,000 and decreases by 6% per year. What is the population of fish after 10 years?
a)
14327
b)
4309
c)
839
d)
7680
2.
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
3.
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
4.
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
5.
Is this exponential growth or decay?
a)
Growth
b)
Decay
6.
What is the initial value for the function: f(x) = 300(1.16)x?
a)
300
b)
1.16
c)
.16
d)
x
7.
The original value of a painting is $1400, and the value increases by 9% each year. Write an exponential growth function to model this situation.
a)
y=1400(1.09)x
b)
y=1.09(1400)x
c)
y=1400(.91)x
d)
y=1.09x
8.
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
9.
Classify the model as Exponential GROWTH or DECAY.
A=1200(.85)6
A=1200(.85)6
a)
Growth
b)
Decay
10.
Classify the model as Exponential GROWTH or DECAY.
A=10(1.01)3
A=10(1.01)3
a)
Growth
b)
Decay
11.
Is the pictured graph growth, decay, or linear or none?
a)
Exponential Growth
b)
Exponential Decay
c)
Linear
d)
None
12.
Is this exponential growth or decay?
a)
Growth
b)
Decay
13.
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.
a)
y=6(0.14)x
b)
y=6(1+14)x
c)
y=6(1+ 0.14)x
d)
y=6(1 - 0.14)x
14.
Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Write an equation that represents this situation.
a)
y=5000(1 - 0.30)x
b)
y=30(5000)x
c)
y=5000(1 + 0.30)x
d)
y=5000xx
15.
Describe the function:
y = 1000(1 - 0.87)x
y = 1000(1 - 0.87)x
a)
growth by 87%
b)
decay by 87%
c)
growth by 13%
d)
decay by 13%
16.
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
17.
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
18.
An antibiotic is introduced into a colony of 12,000 bacteria during a laboratory experiment. The colony is decreasing by 14.9% per minute. Which function can be used to model the number of bacteria in the colony after x minutes?
a)
f(x) = 12000(1 + 14.9)x
b)
f(x) = 12000(1 - 14.9)x
c)
f(x) = 12000(1 + 0.149)x
d)
f(x) = 12000(1 - 0.149)x
19.
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
20.
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
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