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Exponential Growth and Decay

Total questions: 10

Worksheet time: 14mins

Name
Class
Date
1.

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

2.

Select all that represent a decay model

a)

y=7(5/7)

b)

y=(1/9)

c)

y=98(1.04)

d)

y=15(.97)

e)

y= 790,000,000(6)

3.
Is the pictured graph growth, decay, or linear or none?  
a)
Exponential Growth
b)
Exponential Decay
c)
Linear
d)
None
4.

Francis owns a chain of grocery stores. He has 200 stores in 1999. If the rate of increase is 8%, how many grocery stores does Francis own in 2007?

a)

370

b)

384

c)

103

d)

412

5.
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
6.

Does the function represent a growth or decay model?

Y= 40(0.5)x

a)

Decay

b)

Growth

7.

Bruno was given $2000 when he was three years old. His parents invested it had a 2% interest rate. Which expression can be used to determine how much money Bruno had in the account when he turned 16?

a)

2,000(1-0.02)^16

b)

2,000(1+0.02) ^16

c)

2,000(1+0.02)^13

d)

2,000(1-0.02)^16

8.

Mike bought a car for 25,000 in the beginning of the year. Each month the initial cost depreciates at a rate of 4%. How much will the car cost in 5 months?

a)

$34,232.47

b)

$93,727.93

c)

$17,747.92

d)

$20,384.32

9.

There were 417 cell phone sold at an electronics store in January. Since then, system cell phone sales at the store have increased at a rate of 3.75% per month. At this rate of growth which function can be used to determine the monthly cell phone sales x months after January?

a)

417(1.0375)

b)

417(1.375)

c)

417(.375)

d)

417(0.0375)

10.

Has your knowledge grown or decayed?

a)

Grown

b)

Decayed

c)

Grown

d)

Decayed