Since the population decreases by 8% each year, then, the remaining population after 1 year is 92% of the population the previous year.
Then, to find the population after 1 year, we have to multiply the initial population by a factor of 92/100=0.92.
To find the population after t years, the population must be multiplied by a factor of 0.92^t.
Since the initial population is 11,000, then, the exponential model that represents this situation is:
[tex]P=11,000\times0.92^t[/tex]