Question

The number of members in the fan club was 91 in 2000 and has decreased by 6% each year. Which model shows the fan club's membership in terms of t, the number of years since 2000?

Answer 1

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:

`\begin{gathered} y=91*(1-(6)/(100))^t \\ y=91*((100-6)/(100))^t \\ y=91*((94)/(100))^t \\ y=91*(0.94\frac{}{})^t \end{gathered}`

Hence, the expression for t is y=91(0.94)^t.