For tax purposes, you may have to report the value of your assets, such as cars or refrigerators. The value you report drops with time. "Straight-line depreciation" assumes that the value is a linear function of time. If a $880 refrigerator depreciates completely in seven years, find a formula for its value as a function of time. Let x represent the time in years since the refrigerator was purchased.

Question

Mathematics

Emmett Mason

2 October, 08:01

For tax purposes, you may have to report the value of your assets, such as cars or refrigerators. The value you report drops with time. "Straight-line depreciation" assumes that the value is a linear function of time. If a $880 refrigerator depreciates completely in seven years, find a formula for its value as a function of time. Let x represent the time in years since the refrigerator was purchased.

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Answers (1)

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Alisha Pollard · Answer 1

v (x) = 880 (1 - x/7)

Step-by-step explanation:

If the appliance is worthless in 7 years, its value decreases by 1/7 of its original value each year. The multiplier of value for a 7-year depreciation can be ...

(1 - x/7)

So, the refrigerator value can be modeled by ...

v (x) = 880 (1 - x/7)