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WorksheetsExponential Growth and Decay 2
Total questions: 13
Worksheet time: 3hrs 51mins
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.
What does the model P=A(1+r)t best represent?
a)
Exponential growth
b)
Simple Interest
c)
Compound Interest
d)
Exponential Decay
3.
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
4.
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
5.
The attendance at the art museum at the New Year’s opening was 250 people. The attendance has been increasing at a rate of 3% each month. How many people will attend by the end of a year?
a)
356
b)
265
c)
5825
d)
1329
6.
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
7.
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
8.
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
9.
A company deposits $5,000 in a bank account that earns 3% compound interest each year. Which function represents the value, V(t), in dollars, of the bank account after t years?
a)
V(t)=5000(3)t
b)
V(t)=5000(4)t
c)
V(t)=5000(0.03)t
d)
V(t)=5,000(1.03)t
10.
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
11.
Suppose a culture of bacteria begins with 5000 cells and grows 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
12.
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
13.
What type of function is f(x)=2(1/7)x ?
(Graph it)
a)
Exponential Growth
b)
Linear
c)
Exponential Decay
d)
None of the Abovee
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