Question 722989: A small business buys a computer for $4900. After 4 years the value of the computer is expected to be $200. For accounting purposes the business uses straight-line depreciation (this means that if V is the value of the computer at time t, then a linear equation is used to relate V and t) to assess the value of the computer at a given time.
(a) Find a linear equation that models the value V of the computer t years since its purchase.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! A small business buys a computer for $4900. After 4 years the value of the computer is expected to be $200. For accounting purposes the business uses straight-line depreciation (this means that if V is the value of the computer at time t, then a linear equation is used to relate V and t) to assess the value of the computer at a given time.
(a) Find a linear equation that models the value V of the computer t years since its purchase.
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You have two points relating time and value: (0,4000) and (4,200)
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slope = (200-4000)/4 = -3800/4 = -950
intercept = f(0) = 4000
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Equation:
value(x) = -950x + 4000 where x is the number of years.
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Cheers,
Stan H.
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