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Exponential Function QUIZ

Total questions: 20

Worksheet time: 49mins

Name
Class
Date
1.
Is the pictured graph growth, decay, or linear or none?  
a)
Exponential Growth
b)
Exponential Decay
c)
Linear
d)
None
2.
Is this exponential growth or decay?
a)
Growth
b)
Decay
3.
What is the y-intercept of the function?
a)
2
b)
3
c)
1
d)
-2
4.

Which of the equations below represent this table?

a)

y=3⋅(36)x

b)

y=36⋅(3)x

c)

y=3⋅(⅓)x

d)

y=36⋅(⅓)x

5.

Classify the model as Exponential GROWTH or DECAY.

f(x) = 10(1.01)x

a)

Growth

b)

Decay

6.

Classify the model as Exponential GROWTH or DECAY.

f(x) = 1200(.85)x

a)

Growth

b)

Decay

7.
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
8.
Since January 1980, the population of the city of Brownville has grown according to the mathematical model y=720,500(1.022)x, where x is the number of years since January 1980. What is the percentage increase of the population annually?
a)
720,500%
b)
102.2%
c)
2.2%
d)
22%
9.
Ty's house is worth $100,000 right now. It will lose value at a rate of 2% per year.
Which function models this situation?
a)
f(x) = 100,000(2)x
b)
f(x) = 100,000(1.02)x
c)
f(x) = 100,000(0.98)x
d)
f(x)=100,000(98)x
10.
Write an Exponential Function for the following table
x       y
0       6
1       12
2        24
3        48
a)
y = 6(2)x 
b)
y = 6(1/2)x
c)
y = 48(2)x
d)
y = 48(1/2)x
11.
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?
Show all work.
a)
$23,219.72
b)
$136.72
c)
$51,710.94
d)
$16,710.94
12.
a)

a

b)

b

c)

c

d)

d

13.
a)

Week 2

b)

Week 3

c)

Week 4

d)

Week 5

14.
a)

f(x)

b)

g(x)

c)

f(x) and g(x) have the same rate of growth.

d)

The rate of growth cannot be determined from the given information.

15.
a)

1%

b)

2%

c)

3%

d)

4%

16.
a)

300%

b)

100%

c)

92%

d)

8%

17.
A population of 2200 beetles is too large to sustain and decreases in population each month at a rate of 5%. How would you write your decay factor, b?
a)
-5
b)
-.05
c)
.95
d)
.05
18.

Determine if the graph represents growth or decay. Also determine the y-intercept.

a)

decay, 5

b)

decay, 1

c)

growth, 5

d)

growth, 1

19.

Does the following equation model growth or decay?

y = 500(.30)x + 7

a)

Growth by 30%

b)

Growth by 70%

c)

Decay by 30%

d)

Decay by 70%

20.
Use the function, N = 14,000(.96)t. Where N is the number of employees and t is the number of years.
How many employees will there be after 3 years?
a)
14,000 employees
b)
12,386 employees
c)
40,360 employees
d)
15,748 employees