Luxurious rental cars charges $74.00 per day plus $1.5 per mile to rent a convertible. If Isabella paid $95.60 for a one-day rental, how many miles did she drive?

Hello! The $74 is the one-time price paid for the car, and there is a charge of $1.50 per mile. Isabella paid $95.60 to rent a convertible for 1 day. We can write and solve an equation to solve for the number of miles she drove. Set it up like this:

74 + 1.50m = 95.60

First off, subtract 74 from both sides in order to get 1.50m = 21.6. Now, divide each side by 1.50 to isolate the "m". 21.6/1.5 is 14.4. We can solve in reverse to make sure this is the right answer. 14.4 * 1.5 is 21.6. 21.6 + 74 is 95.6. 95.6 = 95.60. There m = 14.4. Isabella drove 14.4 miles.

First step is to subtract 74 from 95.6, this equals 21.6. Now divide 21.6 by 1.5, that equals 14.4. So she drove 14.4 miles.