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kow [346]
3 years ago
15

Paul purchased a used vehicle that depreciates under a straight-line method.

Mathematics
1 answer:
netineya [11]3 years ago
4 0

Answer:

Option B. $900

Step-by-step explanation:

Let

y ----> the value of the car

x ----> the time in years

we know that

The linear function in slope intercept form is equal to

y=mx+b

where

m is the slope or the depreciation rate

b is the y-intercept or initial value of the car

we have

The y-intercept or initial value is equal to

b=\$5,000

y=mx+5,000

we have the ordered pair (5,500)

substitute the value of x and the value of y of the ordered pair in the linear equation and solve for m

500=m(5)+5,000

5m=500-5,000\\5m=-4,500\\m=-\$900\ per\ year

Is negative because is a decreasing function

The linear equation is equal to

y=-900x+5,000

therefore

It would depreciate $900 each year.

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