Question

Otter Lake is a town that has an estimated yearly population increase of 10% each year. Today the populations stands at 15 thousand people.

what is the equation and a data table to demonstrate the increase with a minimum of 5 data points?

Answer 1

For this case we have a function of the form:

`y = A * (b) ^ x`
Where,
A: initial population
b: growth rate
x: time in years
Substituting values we have:

`y = 15000 * (1.10) ^ x`
For the first 5 years we have:
1 16500
2 18150
3 19965
4 21961.5
5 24157.65
Answer:
A function that can be used to demonstrate the increase with a minimum of 5 data points is:

`y = 15000 * (1.10) ^ x`
1 16500
2 18150
3 19965
4 21961.5
5 24157.65