WorksheetsExponential Growth and Decay from a Table
Total questions: 25
Worksheet time: 56mins
Name
Class
Date
1.
Classify the model as Exponential GROWTH or DECAY.
A=1200(.85)x
A=1200(.85)x
a)
Growth
b)
Decay
2.
Is the following graph growth or dacay?
a)
Growth
b)
Decay
3.
Pick the equation that is exponential growth
a)
y=2(0.5)x
b)
y = 0.5(2)x
4.
Pick the equation that is exponential decay
a)
y=2000(0.88)
b)
y=0.5(1.88)
5.
Is the pictured graph growth, decay, or linear or none?
a)
Growth
b)
Decay
c)
Linear
d)
None
6.
What type of function is f(x)=2(1/7)x ?
a)
Exponential Growth
b)
Linear
c)
Exponential Decay
d)
None of the Abovee
7.
What type of function is y = 7(5/4)x?
a)
Exponential Growth
b)
Exponential Decay
c)
Linear
d)
None of the above
8.
Is the equation y=2x+4 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.
Is this exponential growth or decay?
a)
Growth
b)
Decay
13.
What is a, the starting term, for the function: f(x) = 800(0.85)x?
a)
800
b)
0.85
c)
0.15
d)
x
14.
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
15.
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
16.
What is the decay rate in the following model?
A=1200(.85)6
A=1200(.85)6
a)
-1200
b)
-.15
c)
6
d)
-6
17.
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
18.
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
19.
A population of fish starts at 8,000 and decreases by 6% per year. What is the population of fish after 10 years?
a)
14327
b)
4309
c)
839
d)
7680
20.
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
21.
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
22.
Twenty years ago, Mr. Davis purchased his home for $160,000. Since then, the value of the home has increased about 5% per year. How much is the home worth today?
a)
$176,783.29
b)
$424,527.63
c)
$57,357.75
d)
$532,041,076.80
23.
The exponential function f(x)=1200⋅1.065x models the amount of money in Jessica's retirement account (where x represents the number of years since the initial investment). Which of the following statements is true?
a)
Jessica invests $1,200 into the account each year.
b)
Jessica initially invested $1,200 in the account.
c)
Jessica's account is increasing in value by 10.65% each year.
d)
It takes 1.065 years for the account to start increasing in value.
24.
The exponential function f(x)=1200⋅1.065x models the amount of money in Jessica's retirement account (where x represents the number of years since the initial investment). Which of the following statements is true?
a)
Jessica's account is increasing in value by 106.5% each year.
b)
Jessica's account is increasing in value by 1.065% each year.
c)
Jessica's account is increasing in value by 6.5% each year.
d)
Jessica's account is increasing in value by 0.65% each year.
25.
The exponential function f(x)=125,000⋅(0.98)x models the value of Eric's home (where x represents the number of years since he purchased it). Which statement is true about the value of Eric's home?
a)
Eric's home is decreasing in value by 2% each year.
b)
Erica home is increasing in value by 0.98% each year.
c)
Eric's home is decreasing in value by 0.98% each year.
d)
Eric's home is increasing in value by 9.8% each year.
100 %
