Exponential Growth and Decay Concepts

The video tutorial explains exponential functions, focusing on identifying and calculating growth and decay rates. It covers the concepts of growth and decay factors, initial values, and converting rates from decimals to percentages. Examples are provided to illustrate these calculations, helping viewers understand how to determine whether a function represents growth or decay.

What is the main difference between exponential growth and decay?

• Both growth and decay have a base equal to 1.

• Growth has a base greater than 1, decay has a base less than 1.

• Growth has a base less than 1, decay has a base greater than 1.

• Growth and decay are not related to the base value.

Tags

CCSS.HSF-IF.C.8B

In exponential growth, what does the base B represent?

• The growth factor

• The initial value

• The final value

• The decay factor

Tags

CCSS.HSF-IF.C.8B

For exponential decay, if the base B is 0.86, what is the decay rate as a percentage?

• 14%

• 86%

• 0.14%

• 60%

Tags

CCSS.HSF-IF.C.8B

Which of the following bases indicates an exponential growth function?

• 0.86

• 0.92

• 0.4

• 1.38

Tags

CCSS.HSF-IF.C.8B

If a function has an initial value of 310 and a base of 1.2, what is the growth rate as a percentage?

• 12%

• 2%

• 120%

• 20%

Tags

CCSS.HSF-IF.C.8B

What is the initial value of a function with a decay factor of 0.4?

• 310

• 112

• 90

• 15

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CCSS.HSF-LE.A.1C

How do you convert a decimal growth rate to a percentage?

• Divide by 100

• Subtract 100

• Multiply by 100

• Add 100

Tags

CCSS.HSF-IF.C.8B

If the growth factor is 3, what is the growth rate as a percentage?

• 300%

• 30%

• 20%

• 200%

Tags

CCSS.HSF-IF.C.8B

What is the decay rate for a function with a base of 0.92?

• 92%

• 80%

• 8%

• 0.8%

Tags

CCSS.HSF-IF.C.8B

Which of the following is true for exponential decay?

• The base is greater than 1.

• The base is equal to 1.

• The base is less than 1.

• The base is negative.

Tags

CCSS.HSF-IF.C.8B