Exponential Growth and Decay

Exponential Growth and Decay

Multiple Choice

In 1998, Clayton had a population of about 13,000 people. The population is increasing at a rate of 1.4% each year. Write a function that represents Clayton’s population growth since 1998. Use your function to predict the population in 2020.

What is a?

• 1998

• 13,000

• 1.4%

• 1.014

Multiple Choice

In 1998, Clayton had a population of about 13,000 people. The population is increasing at a rate of 1.4% each year. Write a function that represents Clayton’s population growth since 1998. Use your function to predict the population in 2020.

What is the growth factor?

• 1.014

• 1.4%

• 13,000

• 1998

Multiple Choice

In 1998, Clayton had a population of about 13,000 people. The population is increasing at a rate of 1.4% each year. Write a function that represents Clayton’s population growth since 1998. Use your function to predict the population in 2020.

Write the Exponential Function for this model

• $f\left(x\right)=13,000\left(1.4\right)^x$

• $f\left(x\right)=13,000\left(.014\right)^x$

• $f\left(x\right)=13,000\left(1.014\right)^x$

Multiple Choice

In 1998, Clayton had a population of about 13,000 people. The population is increasing at a rate of 1.4% each year. Write a function that represents Clayton’s population growth since 1998. Use your function to predict the population in 2020.

What is the growth factor?

• 1998

• 13,000

• 1.014

• 1.4% or .014

Fill in the Blanks

In 1998, Clayton had a population of about 13,000 people. The population is increasing at a rate of 1.4% each year. Write a function that represents Clayton’s population growth since 1998. Use your function to predict the population in 2020.

What is the predicted population for 2020 in this scenario? Round to nearest whole number

Multiple Choice

Since 1980, the number of gallons of milk a person has drank has decreased by 4.1%. In 1980, each person drank 16.5 gallons of whole milk per year. Write a function to model the gallons of whole milk drunk per person. Use your function to predict the number of gallons of milk each person drank in 2005.

What is a?

• 1980

• 16.5

• 4.1%

• .041

Multiple Choice

Since 1980, the number of gallons of milk a person has drank has decreased by 4.1%. In 1980, each person drank 16.5 gallons of whole milk per year. Write a function to model the gallons of whole milk drunk per person. Use your function to predict the number of gallons of milk each person drank in 2005.

What is the decay factor?

• .959

• 4.1%

• .041

• 1.041

Multiple Choice

Since 1980, the number of gallons of milk a person has drank has decreased by 4.1%. In 1980, each person drank 16.5 gallons of whole milk per year. Write a function to model the gallons of whole milk drunk per person. Use your function to predict the number of gallons of milk each person drank in 2005.

What is the decay rate?

• .959

• 1.041

• 4.1% or .041

• .041%

Multiple Choice

Since 1980, the number of gallons of milk a person has drank has decreased by 4.1%. In 1980, each person drank 16.5 gallons of whole milk per year. Write a function to model the gallons of whole milk drunk per person. Use your function to predict the number of gallons of milk each person drank in 2005.

What is the model for this situation?

• $f\left(x\right)=16.5\left(.959\right)^x$

• $f\left(x\right)=16.5\left(4.1\right)^x$

• $f\left(x\right)=16.5\left(.041\right)^x$

Fill in the Blanks

Since 1980, the number of gallons of milk a person has drank has decreased by 4.1%. In 1980, each person drank 16.5 gallons of whole milk per year. Write a function to model the gallons of whole milk drunk per person. Use your function to predict the number of gallons of milk each person drank in 2005.

How many gallons did people drink in 2005? Round to 100ths

Poll

Can you identify growth and decay from the word problem? From the equation?

• Yes to both

• Yes from a word problem, No to an equation

• No from a word problem, Yes to an equation

• No to both

Poll

Can you model and solve Exponential Growth and Decay Problems?

• Yes to both.

• No to both.

• Yes to writing a model, but No to solving

• No to writing a model, but Yes to solving

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