WorksheetsExponential Growth and Decay Word Problems Practice
Total questions: 15
Worksheet time: 15mins
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).
882
465
349
975
The original value of a painting is $1400, and the value increases by 9% each year. Write an exponential growth function to model this situation.
y=1400(1.09)x
y=1.09(1400)x
y=1400(.91)x
y=1.09x
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?
0 people
It doesn't say
I don't know
6191
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?
4%
It doesn't say
I don't know
400%
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?
$344,022
$31,500
$15,000
$28,500
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 multiplier for this problem?
1.045
.045
.955
1.955
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?
$11625
$6994.77
$21,477
$875
Ash has $8,000 in a savings account. The interest rate is 3% compounded once a year.
To the nearest cent, how much will he have in his account in 4 years?
$9,004.07
$2,2848.80
$9,011.94
$8,242.71
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)
The population of a school is 800 students and is increasing at a rate of 2% per year. Use an exponential function to find the population of the school after 9 years.
Round to the nearest whole number.
(a)
During a certain period of time, about 70 northern sea otters had an annual growth of 18%. Use an exponential function to find the number of sea otters after 4 years.
Round to the nearest whole number.
(a)
Twenty years ago, Mr. Davis purchased his home for $160,000. Since then, the value of the home has increased about 5% per year. Use an exponential function to find the value of the home today.
Round to two decimal places (like money).
(a)
Exponential growth is y=a(1+r)x , and exponential decay is y=a(1−r)x . What does "r" represent?
Initial amount
Rate of growth or decay
Time
End amount
The population of a town is 2500 and is decreasing at a rate of 3.5% per year. Use an exponential function to find the population of the town after 5 years.
Round to the nearest whole number (you can't have a fraction of a person).
(a)
Kathy plans to purchase a car that depreciates at a rate of 12% per year. The initial value of the car is $21,000. Use an exponential function to find the value of the car after 3 years.
Round your answer to 2 decimal places.
(a)
