Question

Please help ....... thank you in advance

Answer 1

Answer:

Here's what I get.

Explanation:

Your first problem is to figure out the formula to use.

You have an initial population P₀ that increases each year by 5 %, that is, by a factor of 1.05.

Each year, you multiply the population of the previous year by 1.05.

This gives you a geometric series, for which the general formula is

 P = P₀rⁿ

P₀ = 11 500

 r = 1.05, the common ratio from one year to the next

n = the number of years from now

The formula for your population is then

P = 11500(1.05)ⁿ

You must create a table with n as the independent variable and P as the dependent value.

I used Excel to create a table showing the population at half-year intervals (see below).

I also created a graph of the population growth.

You are probably aware that this is a completely unrealistic model, because the population cannot exceed the carrying capacity.

Instead, the graph will level off in a logistic growth curve as the population approaches 14 600.