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