Challenge A family wants to rent a car to go on vacation. Company A charges $45.50 and 10¢ per mile. Company B charges $75.50 and 14¢ per mile. How much more does Company B charge for x miles than Company A?
For x miles, Company B charges dollars more than Company A.
(Simplify your answer. Use integers or decimals for any numbers in the expression.)

the answer is:

the answer is:

to solve the problem, we need to remember the quotient of power property, it's defined by the following relation:

if we have a quotienf of powers that have the same base, we need to keep the same base and subtract the exponent of the denominator power to the exponent of the numerator power.

so, we are given the expression:

then, calculating we have:

hence, the answer is:

have a nice day!