Exponential Growth and Decay Worksheet
Practice problems for exponential growth and decay functions, including identifying parameters and solving real-world applications.
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Exponential Growth and Decay
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Read each question carefully and provide the best answer. Show all your work for short answer questions.
1. Which of the following functions represents exponential decay?
y = 2(3)^x
y = 5(0.8)^x
y = 0.5(1.2)^x
y = 10x + 2
2. In the exponential function y = a(b)^x, what does 'a' represent?
The growth/decay factor
The initial amount
The exponent
The variable
3. Exponential growth occurs when the growth factor is greater than .
4. Exponential decay occurs when the growth factor is between 0 and .
5. The formula for exponential growth is y = a(1 + r)^t, where 'r' is the rate.
6. A quantity that triples every hour is an example of exponential decay.
True
False
7. The population of a town decreasing by 5% each year is an example of exponential decay.
True
False
8. A bacterial population starts with 100 bacteria and doubles every 30 minutes. Write an exponential function to model this growth. How many bacteria will there be after 2 hours?
9. A car purchased for $25,000 depreciates at a rate of 15% per year. Write an exponential function to model the car's value. What will be the value of the car after 4 years?
10. Graph the function y = 2^x on the coordinate plane below.