Algebra Question

Question

You need to rent a car for one day. The Suave Car company charges a flat fee of $85 plus 10 cents per mile. Their competitor, Travel Transport, charges a fee of $70 plus 15 cents per mile. For how many miles driven is the cost of renting from Suave Car cheaper than Travel Transport?

Answer 1

Let x mean the number of miles driven.

The cost of this drive with the Suave Car company is : 85 +0 .10x, because $85 is a flat fee you pay regardless of the miles driven, plus you have a fee per miles.

The cost of the same drive with the Travel Transport company is 70 +0 .15x.

The question now is that for what value of x will (85 +0.10x) be less than (70 +0.15x)

85 + 0.10x < 70 +0 .15x

85 + 0.10x- 0.15x < 70 + 0.15x - 0.15x

85 - 0.05x < 70

85 - 0.05x - 85 < 70 - 85

-0.05x < -15

x >-15/-0.05

x> 300

So if you drive more than 300 miles (301 miles or more) , the Suave Car will be cheaper than Travel Transport.