Question

An onsite oil change service charges a flat rate of $40.00 per service call and an additional $2.25 per mile fee for travel outside a certain radius. Josh budgets $200 per year for oil changes on his vehicle. He lives 7 miles outside the radius. What is the greatest number of oil changes (c) that he can schedule and keep on budget for the year?

Answer 1

The answer is 3

Step-by-step explanation

mileage fee for each oil change: 7(2.25) = $15.75

service call + mileage fee = total for each oil change

$40 + $15.75 = $55.75

c = number of oil changes

55.75c = total amount for all oil changes

55.75c ≤ 200

c ≤ 3.59

Therefore, the greatest number of oil changes that Josh can schedule without exceeding his budget is 3.

Answer 2

c = 3 oil changes

Explanation:

The fixed rate for oil change is $ 40

The surplus rate for miles outside the radius is $ 2.25

Josh lives 7 miles of the radius

Therefore an equation for c: The largest number of oil changes that can be scheduled and maintained within the budget for the year is:

`\\40c + 2.25 * 7c = 200\\c (40 + 2.25 * 7) = 200\\c =(200)/(40 + 2.25 * 7)\\c = 3,578\\c = 3` oil changes

Therefore, with the budget set Josh can make a maximum of 3 oil changes per year