Answer:
m>60
Explanation:
Let the number of miles driven = m
Company A charges $97 and allows unlimited mileage.
[tex]\text{ Total Charge for Company A}=\$97[/tex]Company B has an initial fee of $55 and charges an additional $0.70 for every mile driven.
[tex]\text{ Total Charge for Company B}=55+0.70m[/tex]When the charge for Company A is less than that of Company B:
[tex]97<55+0.70m[/tex]We then solve the inequality for m:
[tex]\begin{gathered} 97\lt55+0.70m \\ \text{ Subtract 55 from both sides} \\ 97-55\lt55-55+0.70m \\ 42\lt0.70m \\ \text{ Divide both sides by 0.7} \\ \frac{42}{0.70}<\frac{0.70m}{0.70} \\ 6060 \end{gathered}[/tex]Company A will charge less than Company B when the number of miles driven, m is greater than 60.
