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- A CAR RENTAL COMPANY CHARGES $210 PER WEEK PLUS $.15 PER MILE TO RENT A CAR. HOW MANY MILES CAN YOU DRIVE IN ONE WEEK FOR $336? SO WE WANT TO START BY FOCUSING ON THIS FIRST SENTENCE. WE WANT TO BE ABLE TO READ THIS AND THEN MOUNT AN EQUATION TO MODEL THE TOTAL CHARGES FOR A RENTAL CAR. SO WELL START BY IDENTIFYING THE VARIABLES THAT WELL USE IN OUR EQUATION. THERES GOING TO BE A TOTAL COST, A WEEKLY COST AND A MILEAGE COST. SO LETS LET BIG C EQUAL THE TOTAL COST IN DOLLARS. LETS LET W EQUAL THE NUMBER OF WEEKS AND THEN WELL LET M EQUAL THE NUMBER OF MILES DRIVEN. SO NOTICE THE TOTAL COST IS AFFECTED BY THE NUMBER OF WEEKS THAT YOU HAVE THE CAR AS WELL AS HOW MANY MILES YOU DRIVE. SO THE EQUATION FOR THIS SITUATION WOULD BE BIG C THE TOTAL COST IS GOING TO BE EQUAL TO $210 x THE NUMBER OF WEEKS SO THAT WOULD BE 210W + $.15 PER MILE, WHICH WOULD BE 0.15 x M. AND NOW USING THIS EQUATION HERE, WE SHOULD BE ABLE TO ANSWER THE QUESTION. WE WANT TO KNOW HOW MANY MILES YOU CAN DRIVE
