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Exponential Growth and Decay (Day 2)

Total questions: 12

Worksheet time: 19mins

Name
Class
Date
1.

Find the total amount paid on a 3 years loan of $700 at an annual rate of 29% interest.

a)

$630000.00

b)

$17073000.00

c)

$1502.68

d)

$25089.00

2.

In 1980 there were 900 residents of Sillycity. The number of residents increases by 60% every year. Write an exponential growth function to model this situation.

a)

y=900(1.60)xy=900\left(1.60\right)^x

b)

y=900(1+60)xy=900\left(1+60\right)^x

c)

y=900(.40)xy=900\left(.40\right)^x

d)

y=900(1−60)xy=900\left(1-60\right)^x

3.

In 1980 there were 900 residents of Sillycity. The number of residents increases by 60% every year. How many residents are there in 1988?

a)

15,099

b)

24,158

c)

38,653

d)

9,437

4.

A bicycle depreciates at a rate of 15%. Therese bought a bicycle for $250. IS this an example of an exponential function?

a)

yes, exponential growth

b)

yes, exponential decay

c)

None

5.

A bicycle depreciates at a rate of 15%. Therese bought a bicycle for $250. Write an exponential function to model this situation.

a)

y=250(1+.15)xy=250\left(1+.15\right)^x

b)

y=250(1−.15)xy=250\left(1-.15\right)^x

c)

y=250(.15)xy=250\left(.15\right)^x

d)

Not enough information

6.

A bicycle depreciates at a rate of 15%. Therese bought a bicycle for $250.  How much should it be worth 6 years later?

a)

 $225.00

b)

$28.48

c)

$94.29

d)

$578.27

7.

The population of Winnemucca, Nevada, can be modeled by P=6191(1.04)t where t is the number of years since 1990. What was the population in 1990?

a)

1.04

b)

6,191

c)

Not enough information

d)

0

8.

The population of Winnemucca, Nevada, can be modeled by P=6191(1.04)t where t is the number of years since 1990. What percent did the population increase each year?

a)

4O%

b)

4%

c)

.04%

d)

It does not say

9.

An adult takes 400 mg of ibuprofen. Each hour, the amount of ibuprofen in the person’s system decreases by about 29%. What is the constant ratio for this problem?

a)

1.29

b)

.29

c)

.71

d)

1.71

10.

You buy a new computer for $2100. The computer decreases by 50% annually. What would be the constant ratio for this problem?

a)

1.5

b)

.5

c)

1.05

d)

None

11.

The population of Bloom Falls, Mass. (population 937) is slowly moving to a bigger city. Every year the population drops by 4.5%. What is the common ratio for this problem?

a)

4.5

b)

0.955

c)

0.045

d)

1.045

12.

You bought a Boston Whaler in 2004 for $12,500. The boat's value depreciates by 7% a year. How much is the boat worth in 2012?

a)

$21,477

b)

$11,625

c)

$875

d)

$6995