Can i have some assistance im confused precalculus

Question

A population numbers 14,000 organisms initially and decreases by 4.8% each year.Suppose  represents population, and  the number of years of growth.

An exponential model for the population can be written in the form 

 where  =   

Answer 1

To understand the formula, first think of only one year.

4.8% of 14,000 is 14,000 × 0.048 = 672.

If you start with 14,000 individuals at the beginning of the year, you will have

at the end only 13,328 individuals left.

That is calculated like this:

13,328 = 14,000 - 672 = 14,000 - 14,000 × 0.048 = 14,000 × (1 - 0.048) = 14,000 × 0.952

More generally, if you start the year with some number a of individuals then

at the end of the year you will have a × 0.952.

And the year after that a × 0.952 × 0.952 = a × 0.952²

And the year after that a × 0.952 × 0.952 × 0.952 = a × 0.952³.

More generally, after t years you will have a × 0.952^t individuals.