Exponential Growth and Decay Worksheet

This worksheet focuses on understanding and applying the concepts of exponential growth and decay in various real-world scenarios for Grade 11 students.

Grade 11 Math AlgebraExponential Growth and Decay

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Multiple ChoiceFill in the BlanksShort AnswerTrue / FalseCustom

Standards

CCSS.MATH.CONTENT.HSF.LE.A.1CCSS.MATH.CONTENT.HSF.LE.A.2CCSS.MATH.CONTENT.HSF.LE.B.5

Topics

exponential growthexponential decayalgebragrade 11math

7 sections · Free to use · Printable

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Exponential Growth and Decay

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Read each question carefully and answer to the best of your ability. Show all your work for full credit.

1. Which of the following functions represents exponential decay?

y = 3(1.5)^x

y = 5(0.8)^x

y = 2x + 7

y = x^2 + 4

2. A population of bacteria doubles every hour. If you start with 100 bacteria, how many will there be after 3 hours?

200

400

800

1600

3. The formula for exponential growth is A = P(1 + r)^t, where 'r' represents the rate.

4. When a quantity decreases by a constant percentage over time, it is called exponential .

5. A car purchased for $25,000 depreciates at a rate of 15% per year. Write an exponential decay function to model the car's value after 't' years.

6. A savings account earns 4% interest compounded annually. If you deposit $1000, how much money will you have in the account after 5 years? Round your answer to the nearest cent.

7. In an exponential growth function, the base of the exponent is always greater than 1.

True

False

8. The half-life of a radioactive substance is an example of exponential growth.

True

False

9. Graph the function y = 2^x on the coordinate plane below.