Explanation
We are asked to get the option that models the club's membership in terms of t
To find the answer, we need to be aware that this is a growth function because the number of members increases
Thus
[tex]P=P_o(1+r)^n[/tex]In our case
[tex]\begin{gathered} P_0=23 \\ r=18\text{ \% =0.18} \\ n=t \end{gathered}[/tex]So putting all the terms together, we will have
[tex]\begin{gathered} y=23(1+0.18)^t \\ \\ y=23(1.18)^t \end{gathered}[/tex]Where t is the number of years after 2000
The answer is
[tex]y=23(1.18)^t[/tex]