Question

A delivery truck has 40,000 miles on its odometer and travels an average of 22,000 miles per year.

Which function best models the linear relationship?
y = 22,000x − 40,000
y = –22,000x + 40,000
y = 22,000x + 40,000
y = 40,000x − 22,000

Answer 1

Since the truck adds 22,000 PER YEAR, this would be the number we multiply by the variable depending on how many years they are calculating for. So we have y = 22,000xThe truck already has 40,000 miles on it so it s STARTING at 40,000, this is our y-intercept, or b.Now we have y = 22,000x + 40,000

Answer 2

Function which best models the linear relationship is:

y = 22,000x + 40,000

Explanation:

A delivery truck travels an average of 22,000 miles per year.

Let it travels for x years

Then, it travels 22,000x miles

Truck has 40,000 miles on its odometer

that means it started from 40,000 and after travelling 22,000x it shows

40,000+22,000x

Hence, function which best models the linear relationship is:

y = 22,000x + 40,000