The numbers of millions of Social Security beneficiaries for selected years and projected into the future are given in the table.
(a) Find the cubic function that models these data, with x equal to the number of years past 1950.
Report the model with three significant digits.
(b) Find the point of inflection of the graph of the reported model for x ˃ 0.
(c) Graph this function and discuss what the point of inflection indicates.

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Number of Number of Beneficiaries Beneficiaries (millions) (millions) Year Year 44.8 1950 2.9 2002 1960 14.3 2010 53.3 1970 25.2 2020 68.8 1980 35.1 2030 82.7 1990 39.5