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?

Respuesta :

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

Answer: 7 years

Step-by-step explanation:

The linear equation for depreciation is given by :-

[tex]y=-mx+c[/tex], 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: [tex]y=-250x+1750[/tex]

For y= 0, we have

[tex]0=-(250)x+1750\\\\\Rightarrpw 250x=1750\\\\\Rightarrow\ x=\dfrac{1750}{250}=7[/tex]

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