For women age 16 and older, the table gives the percent of this group that participates in the U.S. workforce for selected years from 1950 and projected to 2050.

(a) With x as the number of years past 1940, find a quartic function that models the data. Report the model with three significant digit coefficients.
(b) For the years from 1950 to 2050, determine all critical points of the reported model.
(c) Find the absolute maximum and absolute minimum of the reported model. Interpret the coordinates of each point.
(d) Find the absolute maximum and absolute minimum of the data set.

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Year Percent Year Percent 1950 33.9 2010 62.2 37.7 2015 1960 62.1 1970 43.3 2020 60.3 1980 51.5 2030 57.4 1990 57.5 2040 56.7 2000 60.2 2050 56.6