Do some research and find a city that has experienced population growth. determine its population on january 1st of a certain year. write an exponential function to represent the city’s population, y, based on the number of years that pass, x after a period of exponential growth. describe the variables and numbers that you used in your equation

For this example I am going to use Cape Coral-Fort Myers Florida which was the fastest growing city of 2017.
As of January of 2000, the population of the city was 102,286, and as of January 1 of 2010, the population was 154,305; therefore, I'm going to examine a population growth over a period of 10 years.
I am going to use the standard model for population growth:

Where:
= time (in years)
= growth rate
= initial population 
= population after a time 

Now, I'm going to replace the values in the equation to get :






Finally, I will multiply x by 100% to obtain 4% which the growing rate of Cape Coral-Fort Myers from 2000 to 2010.