Name: ___________________________________
For the following problems, determine if the function is linear or exponential. If the function is exponential determine if it is a growth or decay and find the constant multiplier.
1.
x
0
1
2
Y
4
16
64
3
4
256
1024
Linear or exponential?
If exponential:
Growth or decay?
4.
Constant Multiplier? x
0
Y
3
1
2
3
30
300
3000
4 30000
Linear or exponential?
If exponential:
Growth or decay?
Constant Multiplier?
2.
x
0
1
2
Y
7
28
49
3
4
70
91
Linear or exponential?
If exponential:
Growth or decay?
Constant Multiplier?
5.
x
0
1
2
3
4
Y
81
27
9
3
1
Linear or exponential?
If exponential:
Growth or decay?
Constant Multiplier?
3.
x
0
1
2
Y
128
64
32
3
4
16
8
Linear or exponential?
If exponential:
Growth or decay?
Constant Multiplier?
6.
x
0
1
2
3
4
Y
100
85
70
55
40
Linear or exponential?
If exponential:
Growth or decay?
Constant Multiplier?
Solve the following exponential growth and decay problems.
7.
The population of a city is 45,000 and decreases 2% each year. If the trend continues, what will the population be after 15 years?

8.
You start a business and have an initial bank account of $400. If your annual profit increases by 5% each year, what will your profit be after 7 years?
9.
A business purchases a computer system for $3000. If the value of the system decreases at a rate of 15% per year, how much is the computer worth after 4 years?
Decide whether the equation represents exponential growth or decay. How do you know?
10.
𝑦 = 2(1.82) 𝑥
11.
𝑦 = 7(0.3) 𝑥
12.
𝑦 = 0.5(1.9) 𝑥
13.
There are two scenarios below. Determine which scenario you would chose and explain why using words and/or equations:
A: Someone puts $1000 in your bank account and then adds $50 per year after that.
B: Someone puts $1000 in your bank account and it earns 5% per year.
14.
The value of a truck can be modeled with the exponential function 𝑦 = 30,000(0.80)
6
What can you tell about the value of the truck from this function?
Key: (1) Exp, Gr, 4 (2) Linear
(3) Exp, De, 0.5 (4) Exp, Gr, 10
(5) Exp, De,
1
3
(6) Linear (7) 33,235 people
(8) $562.84 (9) $1566.02 (10) Growth
(11) Decay (12) Growth (13) %
(14) Ask in class 