[tex]\begin{gathered} \text{let } \\ x=\text{number of miles covered} \\ \text{flat fee for a week = }109\text{ dollars} \\ \text{Total rental charge = 142.15 dollars} \\ 142.15=109+0.13x \\ 142.15-109=0.13x \\ 33.15=0.13x \\ \text{divide both sides by 0.13} \\ x=\frac{33.15}{0.13} \\ x=255miles \end{gathered}[/tex]