Understanding Depreciation of a Television Set

The video tutorial explains how to determine the time it takes for a Sony 55-inch 3D television, initially purchased for $1,150, to depreciate to half its original value. The depreciation rate is $155 per year. The tutorial guides viewers through setting up an equation to model the TV's value over time, solving for when the value is half, and calculating the time required, which is approximately 3.7 years.

What is the initial purchase price of the Sony 55-inch 3D television?

• $1300

• $1150

• $1200

• $1000

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CCSS.HSF-LE.A.1B

By how much does the value of the television decrease each year?

• $175

• $155

• $125

• $100

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CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Which variable represents the value of the TV in the equation?

• t

• v

• y

• x

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CCSS.HSF-BF.A.1A

What is the equation used to model the value of the TV over time?

• v = 1150t - 155

• v = 1150 - 155t

• v = 1150 + 155t

• v = 155t - 1150

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CCSS.6.EE.B.6

What is half of the original value of the television?

• $600

• $575

• $550

• $500

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CCSS.HSA.REI.A.1

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

• Multiply both sides by 155

• Subtract 1150 from both sides

• Add 155t to both sides

• Divide both sides by 1150

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CCSS.7.NS.A.2A

CCSS.7.NS.A.2B

What is the result of dividing -575 by -155?

• 3.8

• 3.5

• 3.6

• 3.7

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CCSS.HSF.LE.A.4

How many years will it take for the TV to be worth half of its original value?

• 2.5 years

• 3.0 years

• 3.7 years

• 4.0 years

What does the variable t represent in the equation?

• Time in years

• Time in months

• Value of the TV

• Depreciation rate

What is the significance of the value 3.7 in the context of this problem?

• It is the depreciation rate

• It is the final value of the TV

• It is the time in years for the TV to halve in value

• It is the initial value of the TV