Exponential Decay Worksheet

A Grade 11 Math worksheet covering exponential decay functions, equations, graphing, and real-world applications.

Grade 11 Math AlgebraExponential Decay

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Includes

Multiple ChoiceFill in the BlanksShort AnswerCustomTrue / False

Standards

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

Topics

Exponential DecayAlgebraGrade 11Mathematics

7 sections · Free to use · Printable

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Date:

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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?

$y = 3(1.5)^x$

$y = 5(0.8)^x$

$y = 2x + 7$

$y = x^2 - 4x + 1$

2. What is the decay factor in the equation $A = P(1 - r)^t$?

$P$

$r$

$(1 - r)$

$t$

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

4. If a quantity is decreasing by 10% each year, the decay rate is .

5. The graph of an exponential decay function as x increases.

6. A new car costs $25,000. It depreciates at a rate of 15% per year. Write an equation to model the value of the car after $t$ years.

7. The half-life of a certain radioactive substance is 5 days. If you start with 100 grams, how much will be left after 15 days?

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

Y-intercept:

Asymptote:

9. In an exponential decay function, the base of the exponent is always greater than 1.

True

False

10. Compound interest can be an example of exponential decay if money is being withdrawn regularly.

True

False