Given:
The number of partcipants for which one staff is needed, S=8.
The cost for each person, C=$11.
The setup fee, F=$25.
Let p be the number of participants at an escape room party and e be the number of escape puzzles.
The expression for the number of staffs needed is,
[tex]\begin{gathered} P(S)=\frac{p}{S} \\ P(S)=\frac{p}{8} \end{gathered}[/tex]So, the number of staffs needed for a party with 16 participants is,
[tex]P(S)=\frac{p}{8}=\frac{16}{8}=2[/tex]Therefore, the expression to calculate the number of staff needed is p/8 and the number of staffs needed for a party with 16 participants is 2.