Dorthy purchased a used that depreciate under a straight line method. the initial value of the car 8400 and the salvage value is 400 if the car is expected to have a useful life for another 5 years how much would it depreciate each year?( please answer quickly)


A. 2000.00

B. 1600.00

C. 80.00

D. 400.00

Respuesta :

Answer:

B. 1600.00

It would depreciate 1600 per year

Step-by-step explanation:

Since,

Dorthy purchased a used that depreciate under a straight line method

so, we can use linear equation formula

We are given

initial value of car  is 8400

so, [tex]b=8400[/tex]

we can use slope-intercept form of line

[tex]y=mx+b[/tex]

now, we can plug value

[tex]y=mx+8400[/tex]

the salvage value is 400 if the car is expected to have a useful life for another 5 years

so, at x=5 , y=400

we can plug it and solve for m

[tex]400=5m+8400[/tex]

[tex]400-8400=5m+8400-8400[/tex]

[tex]5m=-8000[/tex]

[tex]m=-1600[/tex]

So,

It would depreciate 1600 per year