SOLUTION: A lamp is bought for $240 and sold six years later for $60. a) Find the depreciation equation.

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Question 1043290: A lamp is bought for $240 and sold six years later for $60.
a) Find the depreciation equation.

Found 2 solutions by stanbon, Edwin McCravy:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A lamp is bought for $240 and sold six years later for $60.
a) Find the depreciation equation.
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You have 2 points:: (0,240) and (6,60)
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slope = (60-240)/(6-0) = -180/6 = -30
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V(t) = -30t + 240
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Cheers,
Stan H.
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Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!

When 0 years had passed since the lamp was bought, 
it was worth $240.

When 6 years had passed since the lamp was bought, 
it was worth $60.

Let x = the number of years that had passed since
the lamp was bought.

Let y = the dollar amount that the lamp was worth 
when x years had passed.

Then when x = 0, y = $240

And when x = 6, y = $60.

So this is the same as the problem:

Find the equation of the line that passes through
the points

(0,240) and (6,60)



y-y%5B1%5D=m%28x-x%5B1%5D%29

y-240=-30%28x-0%29

y-240=-30x

y=-30x%2B240

Edwin