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2 answers:
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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.
