To study the growth of a population mathematically we use theconcept of exponential models. Generally speaking if we wantto predict the increase in the population at a certain period intime we start by considering the current population and apply anassumed annual growth rate. For example if the U.S.population in 2008 was 301 million and the annual growth rate was0.9% what would be the population in the year 2050? To solvethis problem we using the following formula: