Problema Solution
a couple wishes to rent a car for one day while on vacation. Frank's automobile rental wants $24 per day and $0.23 per mile and any part thereafter. while coups for a day wants $16 per day and $0.25 per mile and any part thereafter. after how many miles would the price to rent from coups exceed the price to rent from frank's.
Answer provided by our tutors
let 'x' be the distance that the car will make in 1 day
Frank's automobile rental will charge
24 + 0.23*x
Coup's automobile rental will charge
16 + 0.25*x
we need to find x such as
16 + 0.25*x > 24 + 0.23*x
0.25x - 0.23x > 24 - 16
0.02x > 8
x > 8/0.2
x > 40 miles
after 40 miles the price to rent from coups exceeds the price to rent from frank's.