Question

A population numbers 11,000 organisms initially and decreases by 8% each year.Suppose P represents population, and t the number of years of growth. Write an exponential model to represent this situation.P =

Answer 1

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:

`P=11,000*0.92^t`