# Inequalities

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? #### Prove It MHF Helper How much does it cost you just to have the car for 5 days? #### Twtheo44 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) x 32(dollars per day) = $160 Now we see that we 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.

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