A rental car agency rents cars for $32 per day. They also charge $0.15 per mile driven. If you are taking a 5-day trip and have budgeted $250 for the rental car, what is the maximum number of miles you can drive and stay within your budget? Write, solve, and graph an inequality that represents this situation

Question

Danica Rivers

Mathematics

7 February, 19:09

A rental car agency rents cars for $32 per day. They also charge $0.15 per mile driven. If you are taking a 5-day trip and have budgeted $250 for the rental car, what is the maximum number of miles you can drive and stay within your budget? Write, solve, and graph an inequality that represents this situation

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Schmidt · Answer 1

600 miles

If it costs 32 a day, and you know that you will have the car 5 days, then you can figure that out first with simply:5 (days) x32 (dollarsperday) = 32 a day, and you know that you will have the car 5days, then you can figure that out first with simply:5 (days) x32 (dollarsperday) = 160

Now we see that we have 90 left in our budget. If you have 90 left in our budget. If you have 90 and it costs $0.15 per mile driven and you want M miles, you can set up the equation:

(0.15) M < = 90, where M is miles driven, and 90 is the amount of budget you have left.

If you solve this, you can see that the maximum miles you can drive is 600 miles without going over your budget.