1. A United Nations population study in 2005 reported that the following logistic function models the world population, where P is measured in billions of people and t in years after 1949: P(t) = 11.2 / (1 + 3.81e^-0.027t) Which of the following statements is correct about the model? (a) The world population was 2.33 billion people in the year 1949 and will grow towards infinity as time increases. (b) The world population was 2.33 billion people in the year 1949 and since then it has been growing by 3.81 billion people each year. (c) The world population was 2.33 billion people in the year 1949 and will grow towards 11.2 billion people as time increases. (d) The world population was 11.2 billion people in the year 1949 and it will decrease towards 0 billion people as time increases. (e) The world population was 11.2 billion people in the year 1949 and it will decrease by 0.027 billion people each year.
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