Answer
The number of miles traveled for the week can be at most 1080.
Work Step by Step
Let x be the number of miles driven.
The cost of traveling x miles would be,
\[60+0.50x\]
Now, the budget constraint gives rise to the following inequality:
\[60+0.5x\le 600\]
This can be solved as follows:
\[\begin{align}
& 60+0.50x\le 600 \\
& 60+0.50x-60\le 600-60 \\
& 0.50x\le 540 \\
& \frac{0.50x}{0.50}\le \frac{540}{0.50}
\end{align}\]
\[x\le 1080\]
The number of miles traveled for the week can be at most 1080.
