Car Depreciation and Value Analysis

The video tutorial explains how the value of assets like cars depreciates over time. It uses a car with an initial value of $15,750 that depreciates by $920 annually as an example. The tutorial guides viewers through writing an expression for the car's value after 't' years and setting up an equation to determine when the car's value will decrease to $5,000. It then demonstrates solving the equation by isolating the variable and performing division, rounding the result to the nearest tenth. The solution indicates that the car's value will reach $5,000 after approximately 11.7 years.

What is the initial value of the car mentioned in the video?

• $15,750

• $10,750

• $5,000

• $920

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CCSS.HSF-LE.A.1B

How much does the car depreciate each year?

• $920

• $1,000

• $500

• $750

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CCSS.HSA-SSE.A.1A

What expression represents the car's value after t years?

• 15,750 + 920t

• 920 + 15,750t

• 15,750 - 920t

• 920t - 15,750

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CCSS.7.EE.B.4A

What is the equation used to find when the car's value decreases to $5,000?

• 15,750 - 920t = 5,000

• 920 + 15,750t = 5,000

• 920t - 15,750 = 5,000

• 15,750 + 920t = 5,000

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CCSS.HSA.REI.A.1

What is the first step in solving the equation for t?

• Subtract 15,750 from both sides

• Divide both sides by 920

• Multiply both sides by 920

• Add 920 to both sides

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CCSS.5.NBT.B.7

What is the result of dividing 10,750 by 920?

• 11.5

• 11.6

• 11.8

• 11.7

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CCSS.5.NBT.B.6

CCSS.6.NS.B.2

How many 920s are in 1,550 during the division process?

• 1

• 4

• 2

• 3

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CCSS.6.EE.B.7

What is the final rounded value of t?

• 11.5 years

• 11.8 years

• 11.6 years

• 11.7 years

What does the calculated time of 11.7 years represent?

• The time it takes for the car to be worth $10,000

• The time it takes for the car to be worth $5,000

• The time it takes for the car to double in value

• The time it takes for the car to depreciate completely

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CCSS.5.NBT.B.6

CCSS.6.NS.B.2

Why is it important to round the quotient to the nearest tenth?

• To simplify the calculation

• To ensure accuracy in the context of the problem

• To make the number smaller

• To make the number larger

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CCSS.5.NBT.B.6

CCSS.6.NS.B.2