WorksheetsGrowth and Decay Exponential Functions
Total questions: 20
Worksheet time: 20mins
Does the function represent a growth or decay function?
Exponential GROWTH
Exponential DECAY
There is a culture of bacteria that begins with 5000 cells and dies by 30% each year. Write an exponential model to represent the situation.
y = 5000(0.70)x
y = 30(5000)x
y = 5000(1.30)x
y = 5000xx
The population of mosquitoes at the beginning of the summer is 4000. The population grows at a rate of 25% a month. How many will there be after 4 months?
9766
9006
9765
5433
What type of function is y = 7(5/4)x?
Exponential GROWTH
Exponential DECAY
Linear
Not a function
Is y = 5(1.04)x growth or decay?
(a)
Growth
Decay
The number of research papers in Professor Sycamore area of expertise has been increasing by 5% every year. Given that 30,010 research papers were published this year. Assuming the trend continues, which equation projects the amount of research papers published in x years?
y = 30,010 (.05)x
y = 30,010 (1.05)x
y = 30,010 (.95)x
y = 30,010 (5)x
A
B
C
D
Emily is culturing bacteria that have a growth rate of 5% per hour. If the current population is 36,000 bacteria, how many bacteria will there be in 12 hours? If necessary, round your answer to the nearest whole number.
8,789,062 bacteria.
19,452 bacteria.
61,572 bacteria.
64,651 bacteria.
This is an example of.....
exponential decay
exponential growth
constant change
a linear function
Move each part of the equation into the table next to the term that best describes what it represents. Not all parts of the equation will be used.
Initial deposit
3,000
growth factor
(1+0.04)
time
t
interest rate
0.04
A newly launched clothing line is rapidly increasing in popularity. Each month, 20% more clothing items are sold. If 89,090 items were sold this month, how many will be sold in 9 months? If necessary, round your answer to the nearest whole number.
74,278 items.
11,957 items.
319,226 items.
459,685 items.
What does 10 represent on the graph and does0.85 represent growth or decay?
(a)
G
F
H
J
Alex invests in a savings account that pays 3.50% interest increases quarterly. What is the decay/growth factor?
100 % + 3.50 %
100% −3.50%
100 % ⋅ 3.50 %
100% ÷3.50%
The amount of bacteria is (a) at a rate of (b) each day.
increasing
12%
decreasing
88%
Given: y=5575(0.65)t This function represents exponential (a) . The Initial Value is (b) . The Rate of Growth or Decay is (c) .
Decay
5575
35%
Growth
0.65
The base of 2 in the exponential function y=3(2)x is also called the
Decay Factor
Growth Factor
Initial Amount
Determine if the exponential function represents growth or decay. Identify the rate r (as a percent) of the exponential function.
f(t)=100(1−0.27)t
Decay 27%
f(t)=950(1+0.27)t
Growth 27%
f(t)=1000(1+0.06)t
Growth 6%
f(t)=500(0.94)t
Decay 6%
f(t)=5000(1+0.6)t
Growth 60%
A newly launched clothing line is rapidly increasing in popularity. Every month, 20% more items of clothing are sold. If 89,090 items were sold this month, how many will be sold in 9 months from now? If necessary, round your answer to nearest whole number.
74,278 items.
11,957 items.
319,226 items.
459,685 items.
The function y= 23(.63)x , models exponential (a)
The PERCENT of growth or decay is (b)
The limit as x→∞ is (c)
decay
37
63
.63
.37
growth
0
∞
23
