Two companies A and B rent out trucks,
Company A charges $118 and allows unlimited mileage,
Company B charges an initial fee of $55 and $0.90 per mileage
Let m represent the number of miles,
Total fees for company B will be,
[tex]55+(m\times0.90)=55+0.90m[/tex]The expression to represent the mileage company A will charge less than company B can be given below in inequality form as,
[tex]55+0.90m>118[/tex]To find m, by collecting like terms above,
[tex]\begin{gathered} 55+0.90m>118 \\ \text{Collect like terms} \\ 0.90m>118-55 \\ 0.90m>63 \\ \text{Divide both sides by 0.90} \\ \frac{0.90m}{0.90}=\frac{63}{0.90} \\ m>70\text{ miles} \end{gathered}[/tex]Since the number of miles company B must drive is 70 miles to have the exact charges as company A
Hence, at above 70 miles, company A will charge less than company B.
