Answer:
200 miles
Step-by-step explanation:
Given data
Rapid Rental Car
charges a $55 rental fee
$20 for gas, and
$0.65 per mile driven
let the number of miles be x, the total charges y
y=55+20+0.65x
y= 75+0.65x----------1
Capital Cars
charges $55 for rental and gas and
$0.75 per mile.
let the number of miles be x, the total charges y
y=55+0.75x
y= 55+0.75x----------2
Required
The number of miles driven before the two Rental companies charge the same amount
equate 1 and 2
75+0.65x= 55+0.75x
collect like terms
75-55= 0.75x-0.65x
20= 0.1x
x= 20/0.1
x= 200miles
Hence the distance will be 200 miles for the charges to be the same
