Question

Chris is going to rent a truck for one day. There are two companies he can choose from, and they have the following prices.Company A has no initial fee but charges 60 cents for every mile driven.Company B charges an initial fee of S70 and an additional 10 cents for every mile driven.For what mileages will Company A charge more than Company B?Usem for the number of miles driven, and solve your inequality for m.

Answer 1

Let m be the total mileages for each company.

Company A.

The total cost for m miles for this company is:

`0.60m`

Company B.

The total cost for miles for this company is:

`0.10m+70`

Now, we need to know for what mileage company A charges more than company B, this means:

`0.60m>0.10m+70`

Solving for m we have:

`\begin{gathered} 0.60m>0.10m+70 \\ 0.60m-0.10m>70 \\ 0.50m>70 \\ m>(70)/(0.50) \\ m>140 \end{gathered}`

Therefore for m>140 (that is for more than 140 miles) company A will charge more tan company B.