You want to rent a limousine for a trip to the city. the limo costs $700 for the night and $0.15 per mile. you have $750 to spend. write an inequality that represents this scenario. how many miles can the limo travel?

The first thing I would do is write an expression for the amount the limo will cost in terms of the number of miles you drive.  In this scenario, the cost=.15(mile)+700.
Now is the question, should the limo cost more or less than $750 to stay on budget?  The answer is you should spend less than $750.  Thus, when writing the inequality, or .15m+700<750.  However, you could spend exactly $750 so you inequality should really be .15m+700≤750.  Now you just need to solve this for the number of miles you can drive.  

First, subtract 700 from both sides and you are left with .15m≤50
Then divide both sides by .15 and you are left with m ≤ 333.33.  Thus, the limo can only travel 333.33 miles.

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