Review: exponential growth and Decay functions

In this lesson, you will review how to write an exponential growth and decay function modeling a percent of increase situation or decrease situation by interpreting the percent of increase as a growth factor or percent of decrease as a decay factor.

Review: exponential growth functions Exponential growth happens by repeated multiplication by the same number.

Review: exponential growth functions A certain species of bacteria will double in population each week in a laboratory.

Review: exponential growth functions A certain species of bacteria will double in population each week in a laboratory.

review: exponential growth functions A certain species of bacteria will double in population each week in a laboratory.

review: exponential growth functions A certain species of bacteria will double in population each week in a laboratory.

review: exponential growth functions A certain species of bacteria will double in population each week in a laboratory.

review: exponential growth functions A certain species of bacteria will double in population each week in a laboratory.

review: exponential growth functions A certain species of bacteria will double in population each week in a laboratory.

review: exponential growth functions A certain species of bacteria will double in population each week in a laboratory.

review: exponential growth functions

A certain species of bacteria will double in population each week in a laboratory.

Review: exponential growth functions A certain species of bacteria will double in population each week in a laboratory. The growth factor is 2.

review: exponential growth functions A certain species of bacteria will double in population each week in a laboratory. Suppose you initially have 25 specimens of this bacteria.

review: exponential growth functions A certain species of bacteria will double in population each week in a laboratory. Suppose you initially have 25 specimens of this bacteria.

review: exponential growth functions A certain species of bacteria will double in population each week in a laboratory. Suppose you initially have 25 specimens of this bacteria.

review: exponential growth functions A certain species of bacteria will double in population each week in a laboratory. Suppose you initially have 25 specimens of this bacteria.

review: exponential growth functions A certain species of bacteria will double in population each week in a laboratory. Suppose you initially have 25 specimens of this bacteria.

review: exponential growth functions A certain species of bacteria will double in population each week in a laboratory. Suppose you initially have 25 specimens of this bacteria.

review: exponential growth functions A certain species of bacteria will double in population each week in a laboratory. Suppose you initially have 25 specimens of this bacteria. The initial value is 25.

review: exponential growth functions A certain species of bacteria will double in population each week in a laboratory. Suppose you initially have 25 specimens of this bacteria.

review: exponential growth functions A certain species of bacteria will double in population each week in a laboratory. Suppose you initially have 25 specimens of this bacteria. Let x = number of time periods since growth began

review: exponential growth functions A certain species of bacteria will double in population each week in a laboratory. Suppose you initially have 25 specimens of this bacteria. Let x = number of time periods since growth began Let y = amount of the growing quantity

review: exponential growth functions A certain species of bacteria will double in population each week in a laboratory. Suppose you initially have 25 specimens of this bacteria. Let x = number of time periods since growth began Let y = amount of the growing quantity

review: exponential growth functions A certain species of bacteria will double in population each week in a laboratory. Suppose you initially have 25 specimens of this bacteria. Let x = number of time periods since growth began Let y = amount of the growing quantity

review: exponential growth functions A certain species of bacteria will double in population each week in a laboratory. Suppose you initially have 25 specimens of this bacteria. Let x = number of time periods since growth began Let y = amount of the growing quantity growth factor initial value

review: exponential growth functions A certain species of bacteria will double in population each week in a laboratory. Suppose you initially have 25 specimens of this bacteria. Let x = number of time periods since growth began Let y = amount of the growing quantity growth factor initial value

review: exponential growth functions A certain species of bacteria will double in population each week in a laboratory. Suppose you initially have 25 specimens of this bacteria. Let x = number of time periods since growth began Let y = amount of the growing quantity initial value 2

review: exponential growth functions A certain species of bacteria will double in population each week in a laboratory. Suppose you initially have 25 specimens of this bacteria. Let x = number of time periods since growth began Let y = amount of the growing quantity initial value 2

review: exponential growth functions A certain species of bacteria will double in population each week in a laboratory. Suppose you initially have 25 specimens of this bacteria. Let x = number of time periods since growth began Let y = amount of the growing quantity 2 25

review: exponential growth functions A certain species of bacteria will double in population each week in a laboratory. Suppose you initially have 25 specimens of this bacteria. Let x = number of time periods since growth began Let y = amount of the growing quantity

interpreting a percent of increase as a growth factor

The amount of money in your savings account increased by 3% last year.

interpreting a percent of increase as a growth factor The amount of money in your savings account increased by 3% last year. What does it mean to grow by 3%?

interpreting a percent of increase as a growth factor The amount of money in your savings account increased by 3% last year. What does it mean to grow by 3%?

interpreting a percent of increase as a growth factor The amount of money in your savings account increased by 3% last year. What does it mean to grow by 3%?

interpreting a percent of increase as a growth factor The amount of money in your savings account increased by 3% last year. What does it mean to grow by 3%?

interpreting a percent of increase as a growth factor The amount of money in your savings account increased by 3% last year. What does it mean to grow by 3%?

interpreting a percent of increase as a growth factor The amount of money in your savings account increased by 3% last year. What does it mean to grow by 3%?

interpreting a percent of increase as a growth factor The amount of money in your savings account increased by 3% last year. What does it mean to grow by 3%?

interpreting a percent of increase as a growth factor The amount of money in your savings account increased by 3% last year. What does it mean to grow by 3%?

interpreting a percent of increase as a growth factor The amount of money in your savings account increased by 3% last year. What does it mean to grow by 3%?

interpreting a percent of increase as a growth factor The amount of money in your savings account increased by 3% last year. What does it mean to grow by 3%?

interpreting a percent of increase as a growth factor The amount of money in your savings account increased by 3% last year. What does it mean to grow by 3%?

interpreting a percent of increase as a growth factor The amount of money in your savings account increased by 3% last year. What does it mean to grow by 3%?

interpreting a percent of increase as a growth factor The amount of money in your savings account increased by 3% last year. What does it mean to grow by 3%?

interpreting a percent of increase as a growth factor The amount of money in your savings account increased by 3% last year. What does it mean to grow by 3%?

interpreting a percent of increase as a growth factor The amount of money in your savings account increased by 3% last year. What does it mean to grow by 3%?

interpreting a percent of increase as a growth factor The amount of money in your savings account increased by 3% last year. What does it mean to grow by 3%?

interpreting a percent of increase as a growth factor The amount of money in your savings account increased by 3% last year. What does it mean to grow by 3%?

interpreting a percent of increase as a growth factor The amount of money in your savings account increased by 3% last year. What does it mean to grow by 3%?

interpreting a percent of increase as a growth factor The amount of money in your savings account increased by 3% last year. What does it mean to grow by 3%?

interpreting a percent of increase as a growth factor The amount of money in your savings account increased by 3% last year. What does it mean to grow by 3%?

interpreting a percent of increase as a growth factor The amount of money in your savings account increased by 3% last year. What does it mean to grow by 3%?

an example

A certain savings account pays 2% interest per year. You open one of these accounts and put $300 into the account. Assume you do not take out or put in any money from the account after the initial $300. Write a two- variable equation modeling the situation. Be sure to define the variables.

an example A certain savings account pays 2% interest per year. You open one of these accounts and put $300 into the account. Assume you do not take out or put in any money from the account after the initial $300. Write a two- variable equation modeling the situation. Be sure to define the variables.

an example A certain savings account pays 2% interest per year. You open one of these accounts and put $300 into the account. Assume you do not take out or put in any money from the account after the initial $300. Write a two- variable equation modeling the situation. Be sure to define the variables.

an example A certain savings account pays 2% interest per year. You open one of these accounts and put $300 into the account. Assume you do not take out or put in any money from the account after the initial $300. Write a two- variable equation modeling the situation. Be sure to define the variables.

an example A certain savings account pays 2% interest per year. You open one of these accounts and put $300 into the account. Assume you do not take out or put in any money from the account after the initial $300. Write a two- variable equation modeling the situation. Be sure to define the variables.

In this lesson, you will learn to write an exponential decay function modeling a percent of decrease situation by interpreting the percent of decrease as a decay factor.

Review: exponential growth and exponential decay

If the change factor is greater than 1: Review: exponential growth and exponential decay

If the change factor is greater than 1: exponential growth Review: exponential growth and exponential decay

If the change factor is greater than 1: exponential growth (growth factor) Review: exponential growth and exponential decay

If the change factor is greater than 1: If the change factor is between 0 and 1: exponential growth (growth factor) Review: exponential growth and exponential decay

If the change factor is greater than 1: If the change factor is between 0 and 1: exponential growth (growth factor) exponential decay Review: exponential growth and exponential decay

If the change factor is greater than 1: If the change factor is between 0 and 1: exponential growth (growth factor) exponential decay (decay factor) Review: exponential growth and exponential decay

growth factor (greater than 1) decay factor (less than 1) Review: exponential growth and exponential decay

growth factor (greater than 1) decay factor (less than 1) Example: 2 review: exponential growth and exponential decay

growth factor (greater than 1) decay factor (less than 1) Example: 2 Review: exponential growth and exponential decay

growth factor (greater than 1) decay factor (less than 1) Example: 2becomes Review: exponential growth and exponential decay

growth factor (greater than 1) decay factor (less than 1) Example: 2becomes Review: exponential growth and exponential decay

growth factor (greater than 1) decay factor (less than 1) Example: 2becomes Review: exponential growth and exponential decay

growth factor (greater than 1) decay factor (less than 1) Example: 2becomes Review: exponential growth and exponential decay

growth factor (greater than 1) decay factor (less than 1) Example: 2becomes Review: exponential growth and exponential decay

growth factor (greater than 1) decay factor (less than 1) Example: 2becomes Review: exponential growth and exponential decay

growth factor (greater than 1) decay factor (less than 1) Example: 2becomes Review: exponential growth and exponential decay

growth factor (greater than 1) decay factor (less than 1) Example: 2becomes Review: exponential growth and exponential decay

percent of decrease as a decay factor

The population of a country decreases by 3%.

percent of decrease as a decay factor The population of a country decreases by 3%.

percent of decrease as a decay factor The population of a country decreases by 3%.

percent of decrease as a decay factor The population of a country decreases by 3%.

percent of decrease as a decay factor The population of a country decreases by 3%.

percent of decrease as a decay factor The population of a country decreases by 3%.

percent of decrease as a decay factor The population of a country decreases by 3%.

percent of decrease as a decay factor The population of a country decreases by 3%.

percent of decrease as a decay factor The population of a country decreases by 3%.

percent of decrease as a decay factor The population of a country decreases by 3%.

percent of decrease as a decay factor The population of a country decreases by 3%.

percent of decrease as a decay factor The population of a country decreases by 3%.

percent of decrease as a decay factor The population of a country decreases by 3%.

percent of decrease as a decay factor The population of a country decreases by 3%.

percent of decrease as a decay factor The population of a country decreases by 3%. becomes

percent of decrease as a decay factor The population of a country decreases by 3%. The decay factor is 0.97! becomes

an example The value of a car depreciates 15% per year after it is purchased. The value of the car at the time of its purchase was $20,000. Write a two-variable equation to model this situation.

an example The value of a car depreciates 15% per year after it is purchased. The value of the car at the time of its purchase was $20,000. Write a two-variable equation to model this situation.

an example The value of a car depreciates 15% per year after it is purchased. The value of the car at the time of its purchase was $20,000. Write a two-variable equation to model this situation.

an example The value of a car depreciates 15% per year after it is purchased. The value of the car at the time of its purchase was $20,000. Write a two-variable equation to model this situation.

an example The value of a car depreciates 15% per year after it is purchased. The value of the car at the time of its purchase was $20,000. Write a two-variable equation to model this situation.

an example The value of a car depreciates 15% per year after it is purchased. The value of the car at the time of its purchase was $20,000. Write a two-variable equation to model this situation.

an example The value of a car depreciates 15% per year after it is purchased. The value of the car at the time of its purchase was $20,000. Write a two-variable equation to model this situation.

an example The value of a car depreciates 15% per year after it is purchased. The value of the car at the time of its purchase was $20,000. Write a two-variable equation to model this situation. becomes

an example The value of a car depreciates 15% per year after it is purchased. The value of the car at the time of its purchase was $20,000. Write a two-variable equation to model this situation. becomes

an example The value of a car depreciates 15% per year after it is purchased. The value of the car at the time of its purchase was $20,000. Write a two-variable equation to model this situation. becomes

an example The value of a car depreciates 15% per year after it is purchased. The value of the car at the time of its purchase was $20,000. Write a two-variable equation to model this situation.

an example The value of a car depreciates 15% per year after it is purchased. The value of the car at the time of its purchase was $20,000. Write a two-variable equation to model this situation.

an example The value of a car depreciates 15% per year after it is purchased. The value of the car at the time of its purchase was $20,000. Write a two-variable equation to model this situation.

an example The value of a car depreciates 15% per year after it is purchased. The value of the car at the time of its purchase was $20,000. Write a two-variable equation to model this situation.

an example The value of a car depreciates 15% per year after it is purchased. The value of the car at the time of its purchase was $20,000. Write a two-variable equation to model this situation.

Now you know how to write an exponential decay function modeling a percent of decrease situation!