Question

A rental car company charges $68.64 per day to rent a car and $0.12 for every mile driven. Jaxon wants to rent a car, knowing that:

•He plans to drive 500 miles
•He has at most $210 to spend

What is the maximum number of days that Jaxon can rent the car while staying within his budget?

Answer 1

Explanation:

x is the number of miles driven, and I'm assuming that's supposed to say that he plans on driving 500 miles per day and has $210 to spend. We need a cost equation for his trip. $68.64 is the flat fee the company charges regardless of how many miles, x, are driven. If they charge $.12 per mile, that's the rate per mile of the equation which is the same thing as the slope of the linear equation. The cost equation is

y = .12x + 68.64

If he has $210 to spend, let's see how many miles he can go on that by subbing in 210 for y:

210 = .12x + 68.64 and

141.36 = .12x so

x = 1178

He can drive a total of 1178 miles with $210. If he drives 500 miles per day, 1178/500 = 2.356 days. So depending upon when he has to return the car and assuming it's in the morning, he can keep the car for 2 full days and stay within his budget.