Grade 9 Math: Exponential Decay

This worksheet focuses on understanding and applying the concept of exponential decay, including identifying decay factors, writing equations, and solving real-world problems.

Grade 9 Math AlgebraExponential Decay

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Multiple ChoiceFill in the Blanks2 Short AnswerTrue / FalseCustom

Standards

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

Topics

MathAlgebraExponential DecayGrade 9

8 sections · Free to use · Printable

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Exponential Decay Worksheet

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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 equations represents exponential decay?

y = 2(3)^x

y = 5(0.8)^x

y = 10x + 2

y = x^2

2. In an exponential decay function y = a(b)^x, the decay factor 'b' must be between 0 and .

3. The initial amount in an exponential decay model is represented by the variable .

4. A new car costs $25,000 and depreciates at a rate of 15% per year. Write an exponential decay equation to model the car's value after 't' years.

5. A decay factor of 1.2 indicates exponential decay.

True

False

6. The population of a certain species of animal is decreasing by 8% each year. If the initial population was 5000, what will the population be after 3 years? Round your answer to the nearest whole number.

7. Consider the function y = 100(0.5)^x. Complete the table of values and then sketch the graph on the coordinate plane below.