Answer:
Explanation:
This is an exponential growth function of the form:
where a is the initial population and b is the growth rate. This could also be written as
which is a bit more accurate. We'll use that one. r is the percent growth: 2% for us.
Filling in the formula:
and then simplifying:
That's the model for this population. Filling in any number of years for x will give you the population y. Our time is 9 years:
Take care of the exponents first, giving us:
and then multiply to get
y = 20,794.6 or 20,794 people (since you can't have 6/10 of a person)