Answer:
c = 3 oil changes
Step-by-step 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:
[tex]\\40c + 2.25 * 7c = 200\\c (40 + 2.25 * 7) = 200\\c =\frac{200}{40 + 2.25 * 7}\\c = 3,578\\c = 3[/tex] oil changes
Therefore, with the budget set Josh can make a maximum of 3 oil changes per year
Answer:
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.
