Exponential Decay Worksheet

This worksheet focuses on understanding and applying exponential decay models, including calculating decay rates, half-life, and predicting future values.

Grade 10 Math AlgebraExponential Decay

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Includes

Multiple ChoiceFill in the BlanksShort AnswerTrue / FalseCustom

Standards

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

Topics

AlgebraExponential DecayFunctionsGrade 10 Math

7 sections · Free to use · Printable

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Exponential Decay Worksheet

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Read each question carefully and provide your best answer. Show all your work for full credit.

1. Which of the following equations represents exponential decay?

y = 5(1.2)^x

y = 10(0.8)^x

y = 2x + 3

y = x^2 - 4

2. The decay factor in an exponential decay model is always:

Greater than 1

Equal to 1

Between 0 and 1

Less than 0

1. In the formula A = P(1 - r)^t, 'r' represents the .

2. The time it takes for a quantity to reduce to half its initial value is called its .

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

2. A radioactive substance has a half-life of 10 years. If you start with 200 grams, how much will be left after 30 years?

1. The graph of an exponential decay function always decreases from left to right.

True

False

2. An exponential decay function has a constant rate of change.

True

False

Graph the function y = 10(0.5)^x. Identify the y-intercept and the asymptote.

Y-intercept:

Asymptote: