Exploring Average Rate of Change

The video tutorial by Mr. Backward explains the concept of average rate of change in linear functions, equating it to the slope. It uses a real estate example to demonstrate how to calculate the average rate of change through straight-line depreciation. The tutorial further illustrates how to create a linear model to predict the value of a building over time, using the depreciation rate. The video concludes with a practical example of calculating the building's value after five years.

What is another term used for the average rate of change in a linear function?

• Axis

• Vertex

• Slope

• Intercept

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CCSS.8.F.B.4

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In the context of linear equations, what does the 'M' value represent?

• Intercept

• Slope

• Axis

• Vertex

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CCSS.8.EE.B.5

How is the slope typically thought of in linear equations?

• As the intercept

• As the ratio of rise over run

• As the axis

• As the vertex

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CCSS.8.EE.B.5

What is the initial value of the building purchased by the real estate investor?

• $60,000

• $50,000

• $40,000

• $70,000

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CCSS.HSF.LE.B.5

By how much is the building's value depreciated each year?

• $4,000

• $1,000

• $2,000

• $3,000

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What is the average rate of change in the value of the building per year?

• Negative $1,000

• Positive $1,000

• Negative $2,000

• Positive $2,000

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CCSS.8.F.B.4

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What does the linear model V(T) represent in this context?

• The value of the building over time

• The height of a building

• The area of a building

• The volume of a building

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CCSS.HSF.LE.B.5

What is the formula for the linear model derived in the video?

• V(T) = 50,000 - 2,000T

• V(T) = 50,000 + 2,000T

• V(T) = 2,000 + 50,000T

• V(T) = 2,000T - 50,000

After how many years is the building's value calculated in the example?

• 3 years

• 5 years

• 6 years

• 4 years

What is the value of the building after 5 years according to the linear model?

• $45,000

• $40,000

• $35,000

• $30,000

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CCSS.HSF-IF.C.7A