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exponential growth

Total questions: 25

Worksheet time: 54mins

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.

Jenny has $20 in a savings account. The interest rate is 5%, compounded annually. To the nearest cent, how much interest will she earn in 2 years?

a)

$2.05

b)

$45.79

c)

$1.99

d)

$7.51

5.

Lauren has $90 in a savings account. The interest rate is 5%, compounded annually. To the nearest cent, how much will she have in 2 years?

a)

$99.23

b)

$21.98

c)

$56.46

d)

$9.21

6.

A cliff overlooking Oak Grove Lake is experiencing erosion, losing elevation at a rate of 5% every millennium. The cliff's current elevation is 1,200 meters. What will its elevation be in 6 millennia? (Round to the nearest whole number if necessary).

a)

882

b)

465

c)

349

d)

975

7.

Kelsey deposited $30 in a savings account earning 10% interest, compounded annually. To the nearest cent, how much interest will she earn in 3 years?

a)

$9.93

b)

$2.01

c)

$17.60

d)

$5.75

8.

Thanks to its environmental initiatives, Silvergrove has cut its annual CO2 emissions by 5%. This year, the town produced 290,000 metric tons of emissions. If the downward trend continues, how much CO2 will be produced 7 years from now? (Round to the nearest whole number if necessary).

a)

202,518

b)

135,792

c)

78,376

d)

20,658

9.

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

10.

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

11.

The value of a book is $58 and depreciates at a rate of 7% per year. Write an exponential function to find the value of the book after 8 years. (Verbal Question: How do we know this is growth or decay?)

a)

f(t) = 58(0.93)t; $32.46

b)

f(t) = 58(1.07)t; $76.32

c)

f(t) = 58(0.93)t; $34.26

d)

f(t) = 58(1.07)t; $73.62

12.

The population of a small town is 1600 and is increasing at a rate of 3% per year. Write an exponential function to model this situation. Then find the population of the town after 10 years. (Verbal Question: How do we know this is growth or decay?)

a)

f(t) = 1600(1.03)t; 2,150 people

b)

f(t) = 1600(0.97)t; 1,738 people

c)

f(t) = 1600(1.03)t; 2,128 people

d)

f(t) = 1600(0.97)t; 1,819 people

13.

The population in Haywardsville is decreasing at a rate of 2.5% per year. If the population in 2000 was 28,000, what will be the expected population in 2015 if this rate of decrease continues? (Verbal Question: How do we know this is growth or decay?)

a)

19,153

b)

19,285

c)

18,956

d)

19,172

14.

In 1985, there were 285 cell phone subscribers in Mayville. The number of subscribers increased by 75% per year after 1985. How many subscribers were in Mayville in 2008? (Verbal Question: What word tells us this is growth or decay?)

a)

110,845,988

b)

111, 043,298

c)

109,678,401

d)

110,544,827

15.
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)
$31,500
c)
$15,000
d)
$28,500
16.
An adult takes 400 mg of ibuprofen. Each hour, the amount of ibuprofen in the person’s system decreases by about 29%. How much ibuprofen is left after 6 hours? 
a)
51 mg
b)
284 mg
c)
1843 mg
d)
116 mg
17.
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 population after 3 years?
a)
1,069 people
b)
894 people
c)
816 people
d)
854 people
18.
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)
$11625
b)
$6994.77
c)
$21,477
d)
$875
19.
Daniel’s Print Shop purchased a new printer for $35,000. Each year it depreciates at a rate of 5%. How much will the printer be worth in 8 years?
a)
$23,219.72
b)
$136.72
c)
$51,710.94
d)
$16,710.94
20.
Twenty years ago, Mr. Davis purchased his home for $160,000. Since then, the value of the home has increased about 5% per year. How much is the home worth today?
a)
$176,783.29
b)
$424,527.63
c)
$57,357.75
d)
$532,041,076.80
21.
Kennedy won $3,000 from a radio contest. If she puts this money in a bank account that earns 2.9% interest compounded quarterly, how much total will she earn in 10 years?
a)
$4915.59
b)
$3933.28
c)
$2979.81
d)
$4005.09
22.
The number of mosquitoes at the beginning of the summer was 4,000. The population of mosquitoes is expected to grow at a rate of 25% a month. How many mosquitoes will there be after 4 months?
a)
9766
b)
9006
c)
9765
d)
5433
23.
A 78 gram sample of Uranium loses half of its mass each year.  How much is left after 6 years?
a)
13 grams
b)
6.5 grams
c)
1.22 grams
d)
592.31 grams
24.

Imagine you're in a magical land where rabbits multiply at an astonishing rate! Initially, you stumble upon a group of 100 fluffy bunnies. If their population triples every single month, can you guess how many rabbits will be hopping around after 6 months?

a)

600

b)

2000

c)

50000

d)

72900

25.

Imagine you're a scientist observing a peculiar species of bacteria. You notice that their population decreases by a whopping 30% each hour. Starting with a bustling community of 500 bacteria, how many of these microscopic citizens will remain after 3 hours of this phenomenon?

a)

172

b)

200

c)

250

d)

150