We know that
• The cost for a car is $24.95 per day and $0.34 per mile.
,• The budget is $250.
,• He rents for 3 days.
Based on the given information, we can define the following equations.
[tex]24.95d+0.34m=250[/tex]Where d is days and m is miles. Replacing the number of days, we have.
[tex]24.95(3)+0.34m=250[/tex]Now, we solve for m.
[tex]\begin{gathered} 74.85+0.34m=250 \\ 0.34m=250-74.85 \\ 0.34m=175.15 \\ m=\frac{175.15}{0.34}\approx515 \end{gathered}[/tex]