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Growth or Decay Word Problems

Total questions: 19

Worksheet time: 19mins

Name
Class
Date
1.

A new savings account is opened with $400 and gains 3% every year. Is this a growth or decay?

a)

growth

b)

decay

2.

The value of a car is $15,000 and depreciates at a rate of 8% per year. Is this a growth or decay?

a)

growth

b)

decay

3.

Daniel’s Print Shop purchased a new printer for $35,000. Each year it depreciates at a rate of 5%. Is this a growth or decay?

a)

decay

b)

growth

4.

Using the exponential function equation f(x)=ab^x, where a is the starting value and b is the growth or decay, and x is the time, find the population of rabbits after 6 months if the population triples every month and initially there are 50 rabbits.

a)

50000

b)

145800

c)

3000

d)

800

5.

Using the exponential function equation f(x)=ab^x, where a is the starting value and b is the growth or decay, and x is the time, find the value of a house after 15 years if it initially worth $250,000 and increases by 5% each year.

a)

$405,518.75

b)

$500,000

c)

$425,000

d)

$375,000

6.

Using the exponential function equation f(x)=ab^x, where a is the starting value and b is the growth or decay, and x is the time, find the population of bacteria after 5 hours if it doubles every hour and initially has 100 bacteria.

a)

500

b)

3200

c)

2000

d)

1000

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 is the population of the town 21 years later?

a)

6191

b)

9912

c)

72519

d)

14108

8.

Using the exponential function equation f(x)=ab^x, where a is the starting value and b is the growth or decay, and x is the time, find the population of fish after 8 weeks if the population doubles every week and initially there are 1000 fish.

a)

128000

b)

512000

c)

64000

d)

256000

9.

The foundation of your house has about 1,200 termites. The termites grow at a rate of about 2.4% per day. How long until the number of termites doubles?

a)

29 to 30 days

b)

23 to 24 days

c)

15 to 16 days

d)

19 to 20 days

10.

You have inherited a house that was purchased for $100,000 in 2010. The value of the house increased by approximately 2% per year. What is the approximate value of the house 11 years later ?

a)

$124,337

b)

$80,073

c)

$743,008

d)

$138,423

11.

Suppose you deposit $3000 in a savings account that pays interest at an annual rate of 4%. Is this a growth or decay?

a)

decay

b)

growth

12.

Your shiny new boat cost $7650. The depreciation for your boat is 14% per year. Is this a growth or decay?

a)

decay

b)

growth

13.

Gasoline costs $1.99 per gallon. The price per gallon increases an average of 6% per month. Is this a growth or decay?

a)

growth

b)

decay

14.

Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Is this a growth or decay?

a)

growth

b)

decay

15.

In 1985, there were 285 cell phone subscribers in the small town of Centerville. The number of subscribers increased by 75% per year after 1985. Is this a growth or decay?

a)

decay

b)

growth

16.

You buy a new computer for $2100. The computer decreases by 50% annually. Is this a growth or decay?

a)

decay

b)

growth

17.

Twenty years ago, Mr. Davis purchased his home for $160,000. Since then, the value of the home has increased about 5% per year. Is this a growth or decay?

a)

growth

b)

decay

18.

Exponential growth is  y=a(1+r)xy=a\left(1+r\right)^x  , and exponential decay is  y=a(1r)xy=a\left(1-r\right)^x  . What does "r" represent?

a)

Initial amount

b)

Rate of growth or decay

c)

Time

d)

End amount

19.

Annual sales for a fast food restaurant are $650,000 and are increasing at a rate of 4% per year. Use an exponential function to find the annual sales after 7 years.


Round to two decimal places (like dollars and cents).

(a)