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WorksheetsExponential Functions Review
Total questions: 20
Worksheet time: 50mins
Name
Class
Date
1.
In an exponential function, what does the 'a' represent?
a)
SLOPE
b)
RATE OF CHANGE
c)
Y-INTERCEPT
d)
COMMON RATIO
2.
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
3.
Classify the model as Exponential GROWTH or DECAY.
A=1200(.85)6
A=1200(.85)6
a)
Growth
b)
Decay
4.
Classify the model as Exponential GROWTH or DECAY.
A=10(1.01)3
A=10(1.01)3
a)
Growth
b)
Decay
5.
Is the pictured graph growth, decay, or linear or none?
a)
Exponential Growth
b)
Exponential Decay
c)
Linear
d)
None
6.
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
7.
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(0.7)x
b)
y=30(5000)x
c)
y=5000(1.3)x
d)
y=5000xx
8.
What is the domain of the function shown below?
a)
-2 < x < 5
b)
0 < x < 12
c)
y > 0
d)
All Real Numbers
9.
Which represents exponential decay?
a)
A
b)
B
c)
C
d)
D
10.
Which does y= 2(.5)x represent?
a)
Exponential Growth
b)
Exponential Decay
11.
Which does y=.5(2)x represent?
a)
Exponential Growth
b)
Exponential Decay
12.
What is the initial value of the situation represented by f(x)=0.05(2)x?
a)
0.05
b)
2
c)
0.1
d)
1
13.
What is the growth factor of the situation represented by f(x)=10(0.3)x?
a)
10
b)
0.3
c)
1
d)
3
14.
The population of Winnemucca, Nevada, can be modeled by P=6191(1.04)t where t is the number of years since 1990. What was the population in 1990?
a)
0 people
b)
It doesn't say
c)
I don't know
d)
6191
15.
The population of Winnemucca, Nevada, can be modeled by P=6191(1.04)t where t is the number of years since 1990. What percent did the population increase each year?
a)
4%
b)
It doesn't say
c)
I don't know
d)
400%
16.
You have inherited land that was purchased for $30,000 in 1960. The value of the land increased by approximately 5% per year. What is the approximate value of the land in the year 2011?
a)
$344,022
b)
$31,500
c)
$15,000
d)
$28,500
17.
An adult takes 400 mg of ibuprofen. Each hour, the amount of ibuprofen in the person’s system decreases by about 29%. How much ibuprofen is left after 6 hours?
a)
51 mg
b)
284 mg
c)
1843 mg
d)
116 mg
18.
You drink a beverage with 120 mg of caffeine. Each hour, the caffeine in your system decreases by about 12%. How long until you have 10mg of caffeine?
a)
19 to 20 hours
b)
10 to 20 hours
c)
15 to 16 hours
d)
5 to 6 hours
19.
Riley invested $1,000 in savings bonds. If the bonds earn 6.75% interest compounded semi-annually, how much total will Riley earn in 15 years?
a)
$1,584.62
b)
$2,651.39
c)
$2,706.86
d)
$1,825.10
20.
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
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