hello
to solve this question, we need to write out an equation to represent the cost of renting a car daily
[tex]\begin{gathered} y=30+0.6x \\ x=\text{ number of miles travelled } \end{gathered}[/tex]now let's write out our equation for this question
[tex]140=30+0.6x[/tex]let's solve for x
collect like terms
[tex]\begin{gathered} 140=30+0.6x \\ 140-30=0.6x \\ 110=0.6x \\ \text{divide both sides by 0.6} \\ \frac{110}{0.6}=\frac{0.6x}{0.6} \\ x=183.33 \end{gathered}[/tex]from the calculation above, Cathy drove 183.33miles that day
