Part 1 The United States Census Bureau provided the following estimates and predic- tions for the total world population (* data from 2012, 2020-2050 numbers are predictions). Year Population 1950 2,556,518,868 1960 3,040,617,514 1970 3,707,921,742 1980 4,447,068,714 1990 5,274,320,491 2000 6,073,265,234 2010 6,838,220,183 2020* 7,608,075,253 2030* 8,295,925,812 2040* 8,897,180,403 2050* 9,404,296,384 Two major models used in predicting population growths are the Exponential Model P(t) = Poet and the Logistic Model k 1+ be-ct Let t= 0 represent the year 1950 and plot the given dataset in a graph with viewing dimensions [-10, 110] for the x-coordinate and [0, 10¹0] for the y-coordinate. P(t) =

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