Question

Aaron’s mother purchases a new computer for $1750. If she claims a linear depreciation (loss of value) on the computer at a rate of $250 per year, how long will it take for the value of the computer to be $0?

Answer 1

0=250x+1750
Solve for x
X=-7 years

Answer 2

Answer: 7 years

Explanation:

The linear equation for depreciation is given by :-

`y=-mx+c`, where m is rate of depreciation and c is the initial amount.

Given : Aaron’s mother purchases a new computer for $1750.

i.e. c= $1750

The rate of depreciation = $250 per year

i.e. m= $250 per year

Function of given situation:
`y=-250x+1750`

For y= 0, we have

`0=-(250)x+1750\\\\\Rightarrpw 250x=1750\\\\\Rightarrow\ x=(1750)/(250)=7`

Hence, it will take 7 years for the value of the computer to be $0 .