Given,
The number of member in 2000 is 91.
The percentage of decrease is 6%.
Required:
The expression model shows the fan club's membership in terms of t, the number of years since 2000.
The expression for the member club is:
[tex]\begin{gathered} y=91\times(1-\frac{6}{100})^t \\ y=91\times(\frac{100-6}{100})^t \\ y=91\times(\frac{94}{100})^t \\ y=91\times(0.94\frac{}{})^t \end{gathered}[/tex]Hence, the expression for t is y=91(0.94)^t.