A population numbers 19,000 organisms initially and grows by 4.8% each year. Suppose P represents population and t represents the number of years of growth. An exponential model for the population can be written in the form P =aâb^t where p =

The exponential model for the population is

Step-by-step explanation:

The exponential model for the population has the following format:

In which P(0) is the initial population and r is the growth rate, as a decimal.

A population numbers 19,000 organisms initially and grows by 4.8% each year.

This means that

So

The exponential model for the population is

the simplified form is

step-by-step explanation:

we want to simplify the expression,

let us change the middle bar to a normal division sign to obtain,

we multiply the first fraction by the reciprocal of the second fraction to obtain,

we factor to obtain,

we cancel the common factors to get,

we simplify to get,

the correct answer is b