Let y be the cost per week of the rent for the oversized car, since there is a cost of $0.60 per mile driven, we can write
[tex]y=0.60x+535[/tex]
where x represents the miles driven and $535 is the weekly fee form the given table.
Now, we need the cost per week when x=100 miles. Then, by substituting this values into our function, we have
[tex]\begin{gathered} y=0.60(100)+535 \\ \end{gathered}[/tex]
which gives
[tex]\begin{gathered} y=60+535 \\ y=595 \end{gathered}[/tex]
Hence, after 100 miles, she will pay $595 in one week.