Exploring Exponential Growth and Decay in Algebra

This video tutorial covers exponential growth and decay, using examples like car depreciation, population growth, and investment interest. It explains the differences between simple and compound interest and demonstrates how to model these scenarios with exponential functions. The tutorial also includes practical examples, such as predicting video views and comparing car maintenance costs over time.

What type of function models the depreciation of a car's value over time?

• Logarithmic function

• Exponential function

• Quadratic function

• Linear function

In the car depreciation example, what causes the value to decrease over time?

• Inflation

• Wear and tear

• Exponential decay

• Linear depreciation

What is the annual growth rate of Hillsville's population?

• 5%

• 20%

• 15%

• 10%

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CCSS.HSF-LE.A.1C

What is the common ratio in the population growth example?

• 1.20

• 1.05

• 1.10

• 1.15

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CCSS.HSF.BF.A.2

What factor determines the shape of an exponential growth function?

• The coefficient of the function

• The base of the function

• The constant term of the function

• The exponent of the function

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CCSS.HSF-IF.C.7E

How often is interest compounded in Kimberly's CD investment?

• Semi-annually

• Monthly

• Annually

• Quarterly

What is the initial value when calculating compound interest?

• The number of times interest is compounded

• The principal amount

• The total amount after interest

• The rate of interest

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CCSS.HSF-IF.C.8B

What is the decay rate of video views per day in the given example?

• 25 views

• 30 views

• 20 views

• 15 views

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CCSS.HSF-LE.A.1C

What does an exponential decay function model?

• Decrease in the number of views over time

• Increase in the amount of interest over time

• Decrease in the value of money over time

• Increase in population over time

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CCSS.HSF-IF.C.8B

After how many years will the maintenance cost and the car's value be the same?

• 9 years

• 7 years

• 11 years

• 5 years

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CCSS.8.EE.C.8C