Exponential Growth and Decay Worksheet

Grade 10 math worksheet covering exponential growth and decay functions, including calculations and graph interpretation.

Grade 10 Math AlgebraExponential Growth and Decay

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Includes

Multiple ChoiceFill in the Blanks2 Short AnswerTrue / False

Standards

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

Topics

exponential growthexponential decayalgebragrade 10math

7 sections · Free to use · Printable

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Exponential Growth and Decay

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Date:

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Read each question carefully and provide your answers in the space provided. Show all your work for full credit.

1. Which of the following functions represents exponential decay?

y = 3(1.2)^x

y = 5(0.8)^x

y = 2x + 7

y = x^2 - 4

2. The initial amount in an exponential growth model is represented by:

The base

The exponent

The coefficient

The variable

3. The general form of an exponential function is y = a(b)^x, where 'a' represents the and 'b' represents the .

4. If the growth rate of a population is 5% per year, the growth factor 'b' in the exponential model will be .

5. A radioactive substance decays at a rate of 10% per hour. If you start with 200 grams, write an equation that models the amount of the substance remaining after 't' hours.

6. A savings account earns 3% annual interest, compounded annually. If you deposit $1000, how much money will be in the account after 5 years? Show your work.

7. In an exponential decay function, the base 'b' is always greater than 1.

True

False

8. The y-intercept of any exponential function y = a(b)^x is (0, a).

True

False

9. Consider the function y = 4(0.5)^x. Is this an example of exponential growth or decay? Explain your reasoning.

10. Sketch a graph of an exponential growth function and an exponential decay function on the same coordinate plane. Label each graph.