SOLUTION: An item costs $1300 has a scrap value of $100, and a useful life of six years. The linear equation relating book value and number of years is:

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Question 148035: An item costs $1300 has a scrap value of $100, and a useful life of six years. The linear equation relating book value and number of years is:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
The data given tells me two points on the linear relation
P%5B1%5D(0,1300)
P%5B2%5D(6,100)
This is with B,the book value plotted on the y-axis
and n, the number of years on the x-axis
P%5B1%5D says that when it's 0 years old (brand new),
it's worth 1300 dollars
P%5B2%5D says that when it's 6 years old, it's worth
100 dollars (scrap value)
The formula to use, in terms of B, and n is
%281300+-+B%29+%2F+%280+-+n%29+=+%281300+-+100%29+%2F+%280+-+6%29
%281300+-+B%29+%2F+%28-n%29+=+1200+%2F+%28-6%29
multiply both sides by %28-1%29%2F-1
%28B+-+1300%29+%2F+n+=+-1200+%2F+6
multiply both sides by 6n
6B+-+7800+=+-1200n
B+=+-200n+%2B+1300 answer
Try values of n = 1,2,3,4,5,6 to check this