Home / Worksheets / Grade 10 / Math / Exponential Growth and Decay Worksheet

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
Use This Worksheet

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
← More Math worksheets for Grade 10

Exponential Growth and Decay

Name:

Date:

Score:

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?

a

y = 3(1.2)^x

b

y = 5(0.8)^x

c

y = 2x + 7

d

y = x^2 - 4

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

a

The base

b

The exponent

c

The coefficient

d

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.

T

True

F

False

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

T

True

F

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.

0246810246810

Related Worksheets

Solving Square Root Equations

This worksheet focuses on solving square root equations, including identifying extraneous solutions, for Grade 10 Algebra students.

Perfect Square Trinomials Worksheet

This worksheet focuses on identifying, factoring, and creating perfect square trinomials for Grade 10 Algebra students.

Radical Operations Worksheet

Grade 10 Math worksheet covering operations with radical expressions including simplification, addition, subtraction, multiplication, and division.

Rearranging Equations Worksheet

A Grade 10 Math worksheet focused on rearranging algebraic equations to solve for specific variables.

Zero Product Property Worksheet

Practice applying the Zero Product Property to solve quadratic equations and other polynomial equations.

Sigma Notation Practice

A Grade 10 math worksheet focusing on understanding and applying sigma notation for sums and series.

Intercepts Exploration

Explore and identify x-intercepts and y-intercepts of linear equations and graphs.

Equations with Variables on Both Sides

Practice solving linear equations with variables on both sides, including those with fractions and decimals.