WorksheetsExponentials
Total questions: 21
Worksheet time: 3600secs
Name
Class
Date
1.
a)
A.
b)
B.
c)
C.
d)
D.
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.
Identify the initial value:
y = 6.87 (4)x
a)
a = 4
b)
a = 6.87
c)
a = 3
d)
a = 1
4.
Classify the following graph.
a)
Exponential Growth
b)
Exponential Decay
c)
Logarithmic
5.
Classify the following graph.
a)
Exponential Growth
b)
Exponential Decay
c)
Logarithmic
6.
Find the exponential equation that represents the table.
a)
y = 2(3)x
b)
y = 3 + (3)x
c)
y = 3(2)x
d)
y = 6(2)x
7.
A new savings account is opened with $400 and gains 3% every year. What is the exponential function?
a)
f(x)=400(.97)x
b)
f(x)=400(1-0.03)x
c)
f(x)=400(1.03)x
d)
f(x)=400(0.03)x
8.
The value of a car is $15,000 and depreciates at a rate of 8% per year. What is the exponential equation?
a)
y=8(15,000)x
b)
y=15,000(1.08)x
c)
y=15,000(0.92)x
d)
y=15,000(0.08)x
9.
What is the asymptote of the parent function y=2x?
a)
x=0
b)
y=0
c)
x=2
d)
y=2
10.
The original value of a painting is $1400, and the value increases by 9% each year. Write an exponential growth function to model this situation.
a)
y=1400(1.09)x
b)
y=1.09(1400)x
c)
y=1400(.91)x
d)
y=1.09x
11.
James' 70 in. giant peach doubles in size every week. Write an expression that would represent how big the peach is after 5 weeks.
a)
70(2)35
b)
70(2)5
c)
2(70)5
d)
5(70)2
12.
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
13.
There were 417 cell phones sold at an electronics store in January. Since then, cell phone sales at this store have increased at a rate of 3.75% per month. At this rate of growth, which function can be used to determine the monthly cell phone sales x months after January?
a)
f(x) = 417(3.75)x
b)
f(x) = 417(0.0375)x
c)
f(x) = 417(1.0375)x
d)
f(x) = 417(1.375)x
14.
a)
The graph represents an exponential growth situation.
b)
Eventually, the car will be worth exactly $0.
c)
The starting value of the car was $12,000.
d)
The range for the situation is y ≥ 0.
15.
Some banks charge a fee for a savings account that is left inactive for an extended period of time. The equation y = 5000(0.98)x represents the amount remaining, y, of one account that was left inactive for a period of x years. What does the number 5000 represent in this situation?
a)
A fee charged for an inactive account
b)
The percent of money in the account after x years
c)
The amount of money in the account initially
d)
The amount of money in the account after x years
16.
Identify the initial value:
y = 6.87 (4)x
a)
a = 4
b)
a = 6.87
c)
a = 3
d)
a = 1
17.
Does the following equation represent exponential growth or exponential decay? y=105(.80)x
a)
Growth
b)
Decay
18.
For the function f(x) =6(3)x , what is the y-intercept?
a)
(6,0)
b)
(3,0)
c)
(0,3)
d)
(0, 6)
19.
Growth or decay?
a)
Growth
b)
Decay
20.
Growth or decay?
a)
Growth
b)
Decay
21.
What is a, the starting term, for the function: f(x) = 300(1.16)x?
a)
300
b)
1.16
c)
.16
d)
x
100 %
