Evelyn has initially $524.96, then she paid $32.50, so she will have less than $500. In order to have at least $500, she needs to deposit the value x.
So the initial value, minus the value paid, plus the deposit needs to be greater than or equal 500, so we have the inequality:
![524.96-32.5+x\ge500](https://img.qammunity.org/2023/formulas/mathematics/high-school/184ummmv44x256mrs557cemf0qritkmfl1.png)
Solving this inequality for x, we have:
![\begin{gathered} 492.46+x\ge500 \\ x\ge500-492.46 \\ x\ge7.54 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/high-school/t7esipvjdyoikivoznrrbovkjvbongwgce.png)
Therefore the correct option is the first one (a).