# Exponents to Numbers Worksheets

What is Exponential Growth & Decay? When calculating exponential growth and exponential decay, we use the following formula; The general exponential formula is given by; Exponential = y = abx b here is the growth factor, r is the growth or decay rate, and x is the number of time intervals passed. Exponential Growth = y = a (1+r)x. Exponential Decay = y = a(1-r)x. When something is growing continuously, mostly naturally occurring phenomena, we use the term exponential growth to describe it. Bacteria growth or radiation decay are some examples exponentially growing phenomenon. When something is getting reduced continuously, we term it as exponential decay. An example of this is the decreasing air pressure with height.

• ### Basic Lesson

Demonstrates the concept drawing lines based on slope and point intersections. Practice problems are provided.

• ### Intermediate Lesson

Explores the use of parallel lines to plot and draw lines. Practice problems are provided. Would the graph of y = 0.4x show exponential growth or exponential decay? Each time x is increased by 1, y decreases to one half of its previous value. So as showing in the graph this equation is showing decay.

• ### Independent Practice 1

Contains 20 Exponential Growth & Decay problems. The answers can be found below.

• ### Independent Practice 2

Features another 20 Exponential Growth & Decay problems.

• ### Homework Worksheet

12 Exponential Growth & Decay problems for students to work on at home. Example problems are provided and explained.

• ### Skill Quiz

10 Exponential Growth & Decay problems. A math scoring matrix is included.

• ### Homework and Quiz Answer Key

Answers for the homework and quiz.

• ### Lesson and Practice Answer Key

Answers for both lessons and both practice sheets.

#### Bacteria Growth

Did you know that many common bacteria can grow exponentially in a matter of days? The fastest growing bacteria have a reproduction rate of 15 to 20 minutes, when conditions are right.