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WorksheetsGrowth or Decay Rates
Total questions: 23
Worksheet time: 58mins
Name
Class
Date
1.
If f(x) = 2x-9, what is f(3)?
a)
6
b)
-3
c)
3
d)
-6
2.
In an exponential function, what does the 'a' represent?
a)
SLOPE
b)
RATE OF CHANGE
c)
Y-INTERCEPT
d)
COMMON RATIO
3.
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
4.
Which equation matches the graph?
a)
y=2(2)x
b)
y=2(1/2)x
c)
y=2x
d)
y=1/2(2)x
5.
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
6.
What is the y-intercept of the function?
a)
2
b)
3
c)
1
d)
-2
7.
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
8.
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
9.
What type of function is y = 7(5/4)x?
a)
Exponential Growth
b)
Exponential Decay
c)
Linear
d)
None of the above
10.
What is a, the starting term, for the function: f(x) = 300(1.16)x?
a)
300
b)
1.16
c)
.16
d)
x
11.
What is b, the common ratio, for the function: f(x) = 300(1.16)x?
a)
300
b)
1.16
c)
.16
d)
x
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.
A 78 gram sample of Uranium loses half of its mass each year. What is the exponential equation?
a)
y=78(0.5)x
b)
y=78(1.5)x
c)
y=78(2)x
14.
A 78 gram sample of Uranium loses half of its mass each year. How much is left after 6 years?
a)
13 grams
b)
6.5 grams
c)
1.22 grams
d)
592.31 grams
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.
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
17.
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
18.
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
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.
Since January 1980, the population of the city of Brownville has grown according to the mathematical model y=720,500(1.022)x, where x is the number of years since January 1980. What is the percentage increase of the population annually?
a)
720,500%
b)
102.2%
c)
2.2%
d)
22%
21.
Since January 1980, the population of the city of Brownville has grown according to the mathematical model y=720,500(1.022)x, where x is the number of years since January 1980. What is the was the population of Brownville in 1980?
a)
102.2 people
b)
720,500 people
c)
1.022 people
d)
1022 people
22.
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 growth rate, b?
a)
-5
b)
-.05
c)
.95
d)
.05
23.
A population of 2200 beetles is too large to sustain and decreases in population each month at a rate of 5%. Approximately what would the population be after a year and a half?
a)
5295 beetles
b)
8.38E-21 beetles
c)
874 beetles
d)
2037 beetles
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