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4. (15 points) The following table shows the world population in billions. Year 1950 1960 1970 1980 1990 2000 Population 2.56 3.04 3.71 4.45 5.26 6.08 (a) (5 points) Approximate the rate of change of the world population in year 1980. Assume that 1950 is at ( = 0. (b) (5 points) Write a linear approximation to the data at year 1980. (c) (5 points) Use the linear approximation in part (b) to estimate the world population in year 1982