According to the United Nations, in the year 2002, the population of the world was 6.1 billion people and was growing at an annual rate of about 1.5%. If this pattern were to continue, then every year, the population would be 1.015 times the population of the previous year. Thus, if P(t) is the world population (in billions) t years after the base year 2002. (a) What was the population in 2004? (b) What will the population be in 2010?

Answer:(a) 6.2843 billion(b) 6.8716 billionStep-by-step explanation:Since there is a constant growth rate of 1.5% per year, and the population in 2002 was 6.1 billion people. The general equation for the total world population, in billions, after 2002 is:[tex]P(t) = 6.1*(1+0.015)^t[/tex]With t being the time, in years, after 2002.a) What was the population in 2004?[tex]t=2004-2002=2\\P(2) = 6.1*(1.015)^2\\P(2) = 6.2843 \ billion[/tex]b) What was the population in 2010?[tex]t=2010-2002=8\\P(8) = 6.1*(1.015)^8\\P(8) = 6.8716 \ billion[/tex]