Question

A used car already has 40,000 miles on its odometer. The average owner will drive 12,000 miles per year. Which function best models the linear relationship? y = 12,000x + 40,000 y = 40,000x + 12,000 y = 52,000x + 12,000 y = 12,000x - 40,000

Answer 1

y = 12,000x + 40,000

Step-by-step explanation:

A linear relationship that would model the mileage of the car in this example is:

`y=mx+q`

where

y is the number of miles

x is the number of years

m is the number of miles driven per year

q is the number of miles already in the car at x=0

In this problem, we have

m = 12,000 (number of miles driven per year)

q = 40,000 (number of miles already in the car at x=0)

So substituting into the equation we get

`y=12,000 x + 40,000`