Final answer:
The population of Mayodan, NC in 2013 would be approximately 2,977 people.
Step-by-step explanation:
To calculate the population in 2013, we can use the formula for exponential growth:
Population = Initial Population * (1 + Growth Rate)^Number of Years
Given that the initial population in 2007 was 2,500 and the growth rate is 3% (or 0.03), we can plug in the values:
Population in 2013 = 2,500 * (1 + 0.03)^6
Simplifying the equation, we get:
Population in 2013 = 2,500 * 1.191016
Therefore, the population of Mayodan, NC in 2013 would be approximately 2,977 people.