The function modeling the growth of the Cedar Valley school population based on an annual growth rate of 7.5% and an initial population of 750 is A = 750*(1+0.075)^12, which comes from the formula representing exponential growth.
The subject of your question falls into the category of Mathematics, specifically dealing with exponential growth. The formula used to calculate exponential growth is A = P*(1+ r)^t. Here, 'A' represents the population after a certain number of years, 'P' stands for the initial population, 'r' is the rate of growth per year, and 't' is the time in years.
In the Cedar Valley example, your 'P' is 750, 'r' is 7.5% or 0.075 (as we convert percent to a decimal), and 't' is 12. Plugging these values into the exponential growth formula gives us A = 750*(1+0.075)^12. This model will help to predict the growth of the school population over time.
Learn more about Exponential Growth