Question

dan 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 $91 and allows unlimited millage.company B has an initial fee of $55 and charges and additional $0.80 for every mile driven. for what mileage ls will company A charge less than company B?use m for the number of miles driven, and solve your inequality for m.

Answer 1

Company A.

Charges $91 for the unlimited millage.

Company B.

An initial fee of $55 and charges $0.80 per mile.

We have to find the case when A < B.

Based on the given information, we can express the following.

$91<55+0.80m$

Then, we solve for m.

$\begin{gathered} 91-55<0.80m \\ 36<0.80m \\ \frac{36}{0.80}45 \end{gathered}$

Hence, after 45 miles, company A charges less than company B.