WorksheetsExponential Functions
Total questions: 22
Worksheet time: 1hrs 9mins
Name
Class
Date
1.
The attendance at the art museum at the New Year’s opening was 250 people. The attendance has been increasing at a rate of 3% each month. How many people will attend by the end of a year?
a)
356
b)
265
c)
5825
d)
1329
2.
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
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.
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.
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(1.14)x
d)
y=6(0.86)x
5.
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
6.
What is a, the starting term, for the function: f(x) = 300(1.16)x?
a)
300
b)
1.16
c)
.16
d)
x
7.
Is the following graph growth or decay?
a)
Growth
b)
Decay
8.
Is the following graph growth or dacay?
a)
Growth
b)
Decay
9.
Which equation matches the graph?
a)
y=2(2)x
b)
y=2(½)x
c)
y=2x
d)
y=½(2)x
10.
Is this exponential growth or decay?
a)
Growth
b)
Decay
11.
What type of function is
y = 7(5/4)x?
y = 7(5/4)x?
a)
Exponential Growth
b)
Exponential Decay
c)
Linear
d)
None of the above
12.
Is this exponential growth or decay?
a)
Growth
b)
Decay
13.
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
14.
What is the equation that represents the exponential function in the image below?
a)
y=3(½)x
b)
y=3(2)x
c)
y=(2)x
d)
y=2(3)x
15.
What is r, the growth rate, for the function: f(x) = 300(1.16)x?
a)
300
b)
1.16
c)
.16
d)
x
16.
Emily invests $3500 at an annual interest rate of 3.5%, compounded quarterly for 14 years. How much will she have?
a)
6.794 e18
b)
4025.25
c)
5700.94
d)
5665.43
17.
What type of equation is represented by this table?
a)
Exponential
b)
Linear
c)
None of the above.
18.
What is the equation of this table?
a)
y=512(1/4)x
b)
y=32(4)x
c)
y=32(1/4)x
d)
y=512(4)x
19.
What is the equation for the function represented by the table below?
x y
0 3
1 6
2 12
3 24
x y
0 3
1 6
2 12
3 24
a)
y = 3(2)x
b)
y = 2(3)x
c)
y = 3(3)x
d)
y = 2 (1/3)x
20.
What is the equation for the function represented by the table below?
x y
0 32
1 16
2 8
3 4
x y
0 32
1 16
2 8
3 4
a)
y = 32(1/2)x
b)
y = 32(2)x
c)
y = 4(2)x
d)
y = 4 (1/2)x
21.
What is the domain of this function?
a)
-6 ≤ x ≤ 6
b)
-6 ≤ x ≤ ∞
c)
-∞ ≤ x ≤∞
d)
0 ≤ x ≤ 26
22.
What is the range of this function?
a)
0 ≤ y ≤ 26
b)
0 ≤ y ≤ 3
c)
-∞ ≤ y ≤∞
d)
0 < y ≤ ∞
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