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Question 53661: find the linear depreciation equation for the TV in the advertisement shown below:
Three (3) years old flat screen TV;
Matrix surround sound with PIP remote
Bought new-$7,500.00; Asking $2,500.00
Answer by AnlytcPhil(1810)   (Show Source):
You can put this solution on YOUR website! find the linear depreciation equation for the TV in the
advertisement shown below:
Three (3) years old flat screen TV;
Matrix surround sound with PIP remote
Bought new-$7,500.00; Asking $2,500.00
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When it was bought new, the time was = 0 years and the
value was $7500.
Now that it is being sold, the time is = 3 and the value
is $2500.
This amounts to finding the equation of a line that
passes through the two points (0, 7500) and (3, 2500),
where x represents the time and y represents the value of
the TV.
y2 - y1
m = ---------
x2 - x1
where (x1,y1) = (0,7500) and (x2,y2) = (3,2500)
2500 - 7500 -5000
m = ------------- = -------
3 - 0 3
Now use the point-slope formula:
y - y1 = m(x - x1)
y - 7500 = -5000/3(x - 0)
y - 7500 = (-5000/3)x
y = 7500 - (5000/3)x
We now would probably change y to V for value, and
x to t for time
V = 7500 - (5000/3)t where 0 < t < 4.5
Edwin
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