Given:
Company A charges $91 and allows unlimited mileage
Company B has an initial fee of $55 and charges $0.80 for every mile
Let the number of mile for which Company B would charge more be m
The amount of money Company A charges compared to that company B charges woud be:
[tex]91\text{ < 55 + 0.8m}[/tex]Simplifying the inequality :
[tex]\begin{gathered} 91\text{ -55 < 0.8m } \\ 36\text{ < 0.8m } \\ \text{Divide both sides by 0.8} \\ 45\text{ < m} \\ m\text{ > 45} \end{gathered}[/tex]Hence, for mileages greater 45 miles, Company A would charge less than Company B