The figure shows world population projections through the year 2150. The data are from the United Nations Family Planning Program and are based on optimistic or pessimistic expectations for successful control of human population growth. Suppose that you are interested in modeling these data using exponential, logarithmic, linear, and quadratic functions. Which function would you use to model each of the projections? Explain your choices. For the choice corresponding to a quadratic model, would your formula involve one with a positive or negative leading coefficient? Explain.

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Population (billions) 30 25 20 15 10 10 Projections in World Population Growth 6 billion High projection Medium projection Low projection 2000 2025 2050 2075 2100 2125 2150 Year 30 billion 13 billion 4 billion