Acomputer is purchased for $2816 and depreciates at a constant rate to $0 in 8 years. find a formula for the value, v , of the computer after t years have passed. then use this formula to give the value of the computer after 5 years. (this is known as "straight-line depreciation" and is a depreciation model often used on tax forms).

Explanation:

We wish to find a formula that

We can cover all this requisites with a straight-line equation. (an straigh-line its the only curve that has a constant rate of change) :

,

where m its the slope of the line and b give the place where the line intercepts the y axis.

So, we can use this formula with the data from our problem. For the first condition:

So, b = $ 2816.

Now, for the second condition:

So, our formula, finally, its:

Now, we just use t = 5 years in our formula