Answer:
The least number of miles above which you would pay less by taking Rate 2 is 900 miles.
Step-by-step explanation:
A car rental company has two rental rates.
Rate 1 :
Rental per day =$81
Cost per mile = $0.18
Cost for x miles = $0.18x
Total cost for x miles for 1 day=81+0.18x
Rate 2:
Rental per day =$162
Cost per mile = $0.09
Cost for x miles = $0.09x
Total cost for x miles for 1 day=162+0.09x
We are supposed to find what is the least number of miles above which you would pay less by taking Rate 2
[tex]81+0.18x>162+0.09x\\0.18x-0.09x>162-81\\0.09x>81\\x>\frac{81}{0.09}\\x>900[/tex]
Hence the least number of miles above which you would pay less by taking Rate 2 is 900 miles.
