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? A) 3 B) 4 C) 5 D) 6

Respuesta :

The answer is 3.

55.75c ≤ 200

c ≤ 3.59

Answer:

The correct answer is option B,

Total four service can be taken.

Step-by-step explanation:

Distance traveled by Josh outside the radius [tex]7 miles\\[/tex]

The cost of travelling [tex]7 miles\\[/tex] outside the radius

[tex]= 7 * 2.25\\= 15.75\\[/tex]

The amount remaining after paying for the outside travelling

[tex]= 200 - 15. 75\\= 184.25\\[/tex]

Number of oil service than can be taken out of the remaining amount

[tex]= \frac{184.25}{40} \\= 4.60\\[/tex]

Thus total four service can be taken

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