Exponential Growth and Decay Lesson

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Exponential Growth and Decay

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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?

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1998

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13,000

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1.4%

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1.014

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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?

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1.014

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1.4%

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13,000

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1998

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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

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

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

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

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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?

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1998

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13,000

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1.014

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1.4% or .014

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Fill in the Blanks

Type answer...

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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?

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1980

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16.5

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4.1%

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.041

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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?

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.959

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4.1%

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.041

4

1.041

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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?

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.959

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1.041

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4.1% or .041

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.041%

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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?

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

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

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

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Fill in the Blanks

Type answer...

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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

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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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Exponential Growth and Decay

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