Question

Debra is going to rent a truck for one day. There are two companies she can choose from, and they have the following prices: company A has no initial fee but charges 80 cents for every mile driven. Company B charges an initial fee of $75 and an additional 70 cents for every mile driven. For what mileages will company A charge at least as much as company B? Use m for the number of miles driven, and solve your inequality for m.

Answer 1

Given that m is the number of miles driven by the truck.

From the information given,

The charge by Company A would be:

`0+80* m=80m`

The charge by Company B would be:

`75+70* m=75+70m`

If company A charges at least as much as company B, then

`A\ge B`

Therefore,

`\begin{gathered} 80m\ge75+70m \\ 80m-70m\ge75 \\ 10m\ge75 \\ m\ge(75)/(10)=7.5 \\ \text{The mileage is 7.5}(miles)/(cent) \end{gathered}`