A Ibin is renting a car and is comparing two companies. Cars-R-Us charges $15 per day plus 15 cents per mile. Cars-Unlimited charges $25 per day plus 5 cents per mile. What is the minimum number of miles he must drive each day for Cars-Unlimited to be his cheapest option?
Step-by-step explanation:
Given the following:
Cars-R-Us charges:
$15 per day plus 15 cents = (15/100)=0.15 per mile.
Hence, given number of days = 1 ; number of miles = x
Total Cars-R-Us charges:
$15 + 0.15x
Cars-Unlimited charges:
$25 per day plus 5 =(5/100)=0.05 cents per mile
25 + 0.05x
15+.15x < 25+.05x
0.15x - 0.05x < 25 - 15
0.1x < 10
x < 10/0.1
x < 100
Hence, the expression represents that greater than 100 miles must be driven for Cars unlimited to be the cheaper.
