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WorksheetsExponential Growth and Decay QUIZ
Total questions: 20
Worksheet time: 36mins
What is the formula for exponential growth?
f(x)=a(1−r)t
f(x)=a(1+r)t
What is the formula for exponential decay?
f(x)=a(1−r)t
f(x)=a(1+r)t
What does the a in f(x)=a(1+r)t represent?
Growth rate
What does the t in f(x)=a(1+r)t represent?
Time
Growth Rate
Slope
Initial amount
What does the r in f(x)=a(1+r)t represent?
Time
Growth rate
Decay rate
Initial amount
Convert the percent to a decimal: 9%
.9
900
.009
.09
Convert the percent to a decimal: 27%
2.7
.27
270
.027
Convert the percent to decimal: 7.25%
Identify the following statement as either exponential growth or exponential decay:
"The value of a car is $18,000 and is depreciating at a rate of 12% per year."
Exponential growth
Exponential decay
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.
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(a)
The population of fish starts at 8,000 and decreases by 6% per year. Use an exponential function to find the population of fish in 10 years.
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(a)
Daniel's Print Shop purchased a new printer for $35,000. Each year it depreciates at a rate of 5%. Use an exponential function to find its approximate value after 8 years.
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(a)
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.
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(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.
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(a)
Kathy plans to purchase a car that depreciates at a rate of 12% per year. The initial value of the. var is $21,000. Use an exponential function to find the value of the car after 3 years.
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(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.
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(a)
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.
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(a)
The initial value of a book is $58 and decreases at a rate of 7% per year. Use an exponential function to find the value of the book after 8 years.
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(a)
The population of a town is decreasing at a rate of 2.5% per year. If the population in 2000 was 28,000, what is the expected population in 2015 if this rate decrease continues?
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(a)
In 1985, there were 285 cell phone subscribers in Mayville. The number of subscribers increased by 75% per year after 1985. Find the number of subscribers in 2008.
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(a)
