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Exponential Word Problems

Total questions: 12

Worksheet time: 36mins

Name
Class
Date
1.

Middletown High School has student elections every year. Lately, the school has seen a 5% decrease in voting from election to election. If 910 students voted this year, how many will be expected to vote 8 years from now? (Round to the nearest whole number if necessary).

a)

604

b)

777

c)

29

d)

198

2.

More and more people are purchasing food from farmers' markets. As a consequence, a market researcher predicts that the number of farmers' markets will increase by 15% each year. If there are 6,200 farmers' markets this year, how many will there be in 10 years? (Round to the nearest whole number if necessary).

a)

25,082

b)

12,937

c)

62,000

d)

43,511

3.

A publishing industry report predicts that magazine subscriptions will drop by 10% each year. If this prediction is correct, then how many subscribers will a magazine with 98,000 subscribers have in 10 years? (Round to the nearest whole number if necessary).

a)

34,170

b)

16,348

c)

7690

d)

76,023

4.

The mice population is 25,000 and is decreasing by 20% each year. What will be the mice population after 3 years?

a)

12,800

b)

15,777

c)

102, 475

d)

2,500

5.

Your new computer cost $1500 but it depreciates in value by about 18% each year. How much will your computer be worth in 6 years? (Round to the nearest cent.)

a)

$456.01

b)

$556.98

c)

$778.22

d)

$332.63

6.

You have inherited land that was purchased for $30,000 in 1960. The value of the land increased by approximately 5% per year. What is the approximate value of the land in the year 2011?

a)

$344,022

b)

$15,000

c)

$31,500

d)

$28,500

7.

You have inherited land that was purchased for $25,000 in 1970. The value of the land has gone up in value by approximately 4% per year. What was the value of the land in the year 2000? Round to the nearest whole dollar.

a)

$750,000

b)

$605,035,808

c)

$81,084

d)

$7,346

8.

You bought a brand new car for $45,000. The car depreciates at approximately 7% per year. How much will the car be worth after 8 years? Round to the nearest whole dollar.

a)

$77,318

b)

$25,181

c)

$41,850

d)

The value won't change at all.

9.

You deposit $500 into an account. If the account increases by 6% per year, how much will the account be worth after 10 years? Round to the nearest whole dollar.

a)

$895

b)

$133,931

c)

$273

d)

$907

10.

In an exponential function, what does the 'a' represent?

a)

TIME

b)

RATE

c)

INITIAL AMOUNT

d)

ANSWER

11.

The population of Boringtown decreased annually by 1.8% between the year 2015-2018. In 2015, there were approximately 200,000 people living in Boringtown. Which function models the city's population since 2015?

a)

y = 200,000(1 + 0.018)3

b)

y = 200,000(1 - 0.18)3

c)

y = 200,000(1 + 0.18)3

d)

y = 200,000(1 - 0.018)3

12.

Your shiny new boat cost $7650. The depreciation for your boat is 14% per year. You want to know the value of your boat in 3 years. What is the equation that models this problem?

a)

y = 7650(1 + 0.14)3

b)

y = 7650(1 - 0.14)3

c)

y = 7650e(0.14)(3)

d)

y = 7650 (1 + 0.14/12)(12)(3)