Given:
The number of members in the band was 82 in 2000.
The number of members decreased by 8% each year.
Required:
We need to find the model for the given situation.
Explanation:
Let t be the number of years since 2000.
Let y be the number of members in t number of years since 2000.
The initial value is 82.
The number of members is decreasing.
Consider the exponential decay equation.
[tex]y=82(1-\frac{8}{100})^t[/tex][tex]y=82(1-0.08)^t[/tex][tex]y=82(0.92)^t[/tex]Final answer:
[tex]y=82(0.92)^t[/tex]