Question

One rental company charges $20 +0.10 per mile another charge is 30+0.05 per mile at what distance is the second company cheaper than the first?

Answer 1

Let x be the miles you drive, now for the second company to be cheaper than the first one, we set the following inequality:

`30+x0.05\le20+0.10x\text{.}`

Solving for x we get:

`\begin{gathered} 30-20\le(0.10-0.05)x, \\ 10\le0.05x, \\ 200\le x\text{.} \end{gathered}`

Therefore, for the second company to be cheaper the distance must be greater than 200 miles.

Answer: Above 200 miles.