A family wants to rent a car to go on vacation. Company A charges $ 35.50 and 10c per mile. Company B charges $65.50 and 13c per mile. How much more does Company B charge for x miles than Company A ?
To calculate the difference in charges, we need to subtract the amount charged by Company A from the amount charged by Company B.
The amount charged by Company A is $35.50 + 0.10x (where x is the number of miles).
The amount charged by Company B is $65.50 + 0.13x (where x is the number of miles).
The difference in charges is therefore: ($65.50 + 0.13x) - ($35.50 + 0.10x).
Simplifying this gives: $65.50 - $35.50 + 0.13x - 0.10x.
Simplifying further gives: $30 + 0.03x.
So, Company B charges $30 + 0.03x more than Company A for x miles.