ANSWER
[tex]\$51[/tex]EXPLANATION
The club allows people to join for $35 and pay $2 for every event attended.
Let the number of events attended be x, this means that the cost of attending x events is:
[tex]C=35+2x[/tex]Therefore, the cost for 8 events will be:
[tex]\begin{gathered} C=35+2(8) \\ C=35+16 \\ C=\$51 \end{gathered}[/tex]That is the answer.