Question

A population numbers 12,000 organisms initially and grows by 10.8% each year. Suppose P represents population, and t the number of years of growth. An exponential model for the population can be written in the form P = a ⋅ b t where

Answer 1

`P= a b^t`

And for this case
`a=12000` and the growth rate can be founded like this:

`b= 1+0.108 = 1.108`

And then our model would be given by:

`P = 12000 (1.108)^t`

Explanation:

For this case if we want to find a model for the population number after some time t we can use the following general model:

`P= a b^t`

And for this case
`a=12000` and the growth rate can be founded like this:

`b= 1+0.108 = 1.108`

And then our model would be given by:

`P = 12000 (1.108)^t`