We need to pay $63.68 per DAY and $0.10 per MILE, while staying BELOW the budget of $170... therefore,
$63.68d + $0.10m < $170
We are also already given m, which is <u>250 miles</u> (The amount she plans to travel.) Solve for d.
$63.68d + $0.10(<u>250</u>) < $170
$63.68d + $25 < $170
$63.68d < $145
d < 2.777
In other words, the theoretical maximum amount of time she can rent before exceeding her budget is 2.777 days. That's not practical though so we will round the final answer DOWN to 2 days to be safe and stay within budget.