Exploring Exponential Functions

The video tutorial covers exponential functions, focusing on both decay and growth. It begins with a car depreciation example to explain exponential decay, followed by a gasoline price increase scenario to illustrate exponential growth. The breakdown of chemical compounds is used to further demonstrate decay, while a savings account example explains growth through compound interest. Each section provides detailed calculations and explanations to help students understand the concepts.

What is the annual depreciation rate of Mrs. Fletcher's Audi Q5?

• 2%

• 10%

• 5%

• 3%

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CCSS.HSF.BF.A.2

After 10 years, what is the approximate value of the Audi Q5?

• $20,000

• $23,949.48

• $38,000

• $25,000

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CCSS.HSF-LE.A.1B

What was the monthly increase rate of gasoline prices?

• 0.05%

• 0.5%

• 5%

• 1%

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CCSS.HSF-LE.A.1B

What was the price of gasoline per gallon one year later?

• $1.48

• $1.39

• $1.50

• $2.00

What does the 0.6 in the chemical compound breakdown equation represent?

• 60% increase

• 40% increase

• 60% decrease

• 40% decrease

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CCSS.HSF.BF.A.2

What does 1.02 represent in the savings account equation?

• 2% decrease

• 0.2% increase

• 20% increase

• 2% increase

How is the annual interest rate adjusted for monthly compounding?

• Added to 12

• Subtracted by 12

• Multiplied by 12

• Divided by 12

What is the total amount in Breanna's account after 2 years with monthly compounding?

• $2,800

• $3,000

• $2,500

• $2,654.39

What initial amount is used to calculate the future value of the savings account?

• $1,500

• $2,500

• $2,000

• $3,000

What does the exponent in the savings account equation represent?

• Monthly interest rate

• Number of years

• Number of months

• Annual interest rate