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Foundations of Math Practice Test Exponential Growth and Decay

Total questions: 20

Worksheet time: 26mins

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.
What is a, the starting term, for the function: f(x) = 300(1.16)x?
a)
300
b)
1.16
c)
.16
d)
x
3.

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

4.
Classify the model as Exponential GROWTH or DECAY.
A=1200(.85)6
a)
Growth
b)
Decay
5.
Classify the model as Exponential GROWTH or DECAY.
A=10(1.01)3
a)
Growth
b)
Decay
6.
Is this exponential growth or decay?
a)
Growth
b)
Decay
7.
Is the pictured graph growth, decay, or linear or none?  
a)
Exponential Growth
b)
Exponential Decay
c)
Linear
d)
None
8.
Is the equation linear, exponential or neither?
a)
Linear
b)
Exponential
c)
Neither
9.
Is the equation linear, exponential or neither?
a)
Linear
b)
Exponential
c)
Neither
10.
Is the graph linear, exponential or neither?
a)
Linear
b)
Exponential
c)
Neither
11.
Is the pictured graph growth, decay, or linear or none?  
a)
Exponential Growth
b)
Exponential Decay
c)
Linear
d)
None
12.
What type of function is f(x)=2(1/7)x ?
a)
Exponential Growth
b)
Linear
c)
Exponential Decay
d)
None of the Abovee
13.
What type of function is y = 7(5/4)x?
a)
Exponential Growth
b)
Exponential Decay
c)
Linear
d)
None of the above
14.
Pick the equation that is exponential decay
a)
y=2000(0.88)
b)
y=0.5(1.88)
15.
Pick the equation that is exponential growth
a)
y=2(0.5)x
b)
y = 0.5(2)x
16.
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
17.
The value of a car is $15,000 and depreciates at a rate of 8% per year. What is the decay factor?
a)
.08
b)
1.08
c)
.92
d)
8
18.

An experimental plant has an unusual growth pattern. When it was first planted it was 16 inches tall. Each day the plant doubles its height. Which equation can be used to represent this situation?

a)

f(x) = 16x

b)

f(x) = 16(2)x

c)

f(x) = 2x

d)

f(x) = 2(16)x

19.

The number of bees in the wild are decreasing exponentially. Scientists estimate that there are currently 180 million wild bees left in the world. Each year only a quarter of the bee population remains. Which equation could you use to represent this scenario?

a)

f(x) = 300(25)x

b)

f(x) = 1/4(300)x

c)

f(x) = 25(300)x

d)

f(x) = 180(1/4)x

20.

In an exponential function, what does the 'b' represent?

a)

SLOPE

b)

INITIAL VALUE

c)

Y-INTERCEPT

d)

FACTOR