Problema Solution

a car rental company has 2 rental rates rate 1 is 63.00 per day plus 0.18 per mile rate 2 is 126.00 per day plus 0.09 cents per mile. if you plan to rent for 1 week how many miles would you need to drive to pay less by taking rate #2

Answer provided by our tutors

Let the total miles be x. 

The rate 1 gives the total rate = 63+0.18x.

The rate 2 gives total cost = 126+0.09x.

For the second rate to be lesser,   126+0.09x < 63+0.18x.

 

=>  63 < 0.09x

=>   x > 63/0.09 = 700 miles.

So, if the ride is above 700 miles, then rate 2 will be cheaper.