Question

John is going 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 $50 and an additional 40 cents for every mile driven.For what mileages will Company A charge more than CompanyB? Use m for the number of miles driven, and solve your inequality for m.

Answer 1

Given

Company A charges 60% for every mile driven while Company charges initial fee of $50 and 40% for every mile.

Find

What mileages will company A charge more than company B.

Explanation

Assume m be the number of miles driven

according to the question,

Company A costs: 0.60m

Company B costs: 50+0.40m

as, A >B when

$\begin{gathered} 0.60m>50+0.40m \\ 0.20m>50 \\ m>\frac{50}{0.20} \\ m>250 \end{gathered}$

Final Answer

$m>250$