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WorksheetsIdentifying Exponential Functions, Changing Percentages to Decimals
Total questions: 25
Worksheet time: 24mins
Name
Class
Date
1.
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
2.
In an exponential function, what does the 'a' represent?
a)
SLOPE
b)
RATE OF CHANGE
c)
Y-INTERCEPT
d)
COMMON RATIO
3.
In the equation
y = 10(3)x
What is the initial amount?
a)
10
b)
3
c)
x
d)
y
4.
In the equation
y = 7(5)x
What is the common ratio?
a)
7
b)
5
c)
x
d)
y
5.
Is this exponential growth or decay?
a)
Growth
b)
Decay
6.
Is this exponential growth or decay?
a)
Growth
b)
Decay
7.
Given y= 4 (2)x
determine the y-intercept
determine the y-intercept
a)
(0, 2)
b)
(0, 4)
8.
Which of the following represents compound interest?
a)
A=P(1+r/n)nt
b)
A=Pert
c)
y=a(1-r)x
d)
y=a(1+r)x
9.
Which of the following represent exponential decay?
a)
A=P(1+r/n)nt
b)
A=Pert
c)
y=a(1-r)x
d)
y=a(1+r)x
10.
Which of the following represent exponential growth?
a)
A=P(1+r/n)nt
b)
A=Pert
c)
y=a(1-r)x
d)
y=a(1+r)x
11.
Does this function represent growth or decay?
y=10(.3)x
y=10(.3)x
a)
Growth
b)
Decay
12.
Does this function represent growth or decay?
y=.2(3)x
y=.2(3)x
a)
Growth
b)
Decay
13.
Does this function represent growth or decay?
y=5(1+0.3)x
y=5(1+0.3)x
a)
Growth
b)
Decay
14.
Does this function represent growth or decay?
y=-6(1-0.3)x
y=-6(1-0.3)x
a)
Growth
b)
Decay
15.
Identify the y-intercept (initial value) in the function f(x)=13(.27)x
a)
(.27)x
b)
.27
c)
13
d)
3.51
16.
The population of termites in Mrs. Woodley's house is 200. A termite inspector tells Mrs. Woodley that the number of termites will quadruple every week until she pays for their removal. Is this a growth or decay model?
a)
Growth
b)
Decay
17.
Wilma and Walder's Weaving Wanders bought a piece of weaving equipment for $60,000. It is expected to depreciate at an average of 10% per year. Is this a growth or decay model?
a)
Growth
b)
Decay
18.
Convert 3% to a decimal
a)
3
b)
.3
c)
.03
d)
.003
19.
Write 24% as a decimal.
a)
24
b)
24/10
c)
0.24
d)
2.4
20.
17% as a decimal
a)
17
b)
1.7
c)
0.17
d)
0.017
21.
change 25% to a decimal
a)
.25
b)
.2
c)
2.5
d)
.025
22.
What is 7.25% converted to a decimal?
a)
.725
b)
0.725
c)
0.0725
d)
7.25
23.
Change 56% to a decimal
a)
.56
b)
56
c)
5.6
d)
.056
24.
Change 4% to a decimal
a)
.4
b)
.40
c)
.04
d)
400
25.
Identify the half-life function.
a)
y=a(1+r)x
b)
y=a(0.5)x
c)
y= y=21ax
d)
y=a(1−r)x
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