SOLUTION: a business purchaseda new van for $27,500. after 5 years it's depreciated vaule is $12,000. assuming a straight line depreciation write an equation of the line giving the value V o

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Question 224579: a business purchaseda new van for $27,500. after 5 years it's depreciated vaule is $12,000. assuming a straight line depreciation write an equation of the line giving the value V of the van in terms of the age X of the van.
Found 2 solutions by Edwin McCravy, MathTherapy:
Answer by Edwin McCravy(20086)   (Show Source): You can put this solution on YOUR website!
a business purchaseda new van for $27,500. after 5 years it's depreciated vaule is $12,000. assuming a straight line depreciation write an equation of the line giving the value V of the van in terms of the age X of the van.

When X = 0 years, V = $27500
When X = 5 years, V = $12000

So we can use the usual letters for finding equations of lines,
let's use x for X and y for V:

When x = 0 years, y = $27500
When x = 5 years, y = $12000

So the problem becomes:

Find the equation of the line through the points 
(0,27500) and (5,12000)

Use the slope formula:





Now use the point-slope form:









Now change x back to X and y back to V:



Edwin


Answer by MathTherapy(10858)   (Show Source): You can put this solution on YOUR website!
a business purchaseda new van for $27,500. after 5 years it's depreciated vaule is $12,000. assuming a straight line depreciation write an equation of the line giving the value V of the van in terms of the age X of the van.

Age of van = X

Since in 5 years, the van depreciated to $12,000, then its annual depreciation amount is: $3,100 ().

Since its annual depreciation is $3,100, then it's losing $3,100 of its value every year

Therefore, BOOK value of van, in any given year is:

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