Question

omar 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 charges $107 and allows unlimited mileage. company b has an initial fee of $55 and charges an additional $0.80 for every mile driven. for what mileages will company a charge less than company b? use m for the number of miles driven, and solve your inequality for m.

Explanation:

Step1: Set up the inequality

Company A's cost is \(107\). Company B's cost is \(55 + 0.8m\). We want \(107<55 + 0.8m\).

Step2: Subtract 55 from both sides

\(107-55<55 + 0.8m-55\), which simplifies to \(52<0.8m\).

Step3: Divide both sides by 0.8

\(\frac{52}{0.8}<\frac{0.8m}{0.8}\), so \(m > 65\).

Answer:

\(m>65\)