Final answer:
To create a population model, use the equation y = mx + b. The population in 2032 is predicted to be 321,100. None of the provided options are correct.
Step-by-step explanation:
To create a population model, we'll use the equation y = mx + b, where y is the population, x is the number of years since 2012, m is the rate of change, and b is the initial population in 2012. We know that the population in 2012 was 213,100, so b = 213,100. We also know that the population grew by 15,900 people from 2012 to 2015. Since there are 3 years between 2012 and 2015, we can calculate the rate of change, m, as the change in population divided by the change in years, which is (15,900)/(3) = 5,300. Therefore, our population model is y = 5,300x + 213,100.
To predict the population in 2032, we need to calculate the number of years since 2012. Since 2032 is 20 years after 2012, x = 20. Plugging x = 20 into our population model, we get y = 5,300(20) + 213,100 = 321,100. Therefore, the predicted population in 2032 is 321,100.
Based on the options provided, none of them match our prediction of 321,100. Therefore, none of the options A, B, C, or D are correct.