Suppose the rate of change of the percent p of total U.S. workers who are female can be modeled by

percentage points per year, where t is the number of years past 1950.

(a) Use integration and the data point for 2040 to find the function p(t) that models the percent of the workforce that is female.
(b) For selected years from 1950 and projected to 2050, the data in the table show the percent of total U.S. workers who are female. With t as the number of years past 1950, graph these data with the model found in part (a).
(c) Comment on the model's fit to the data.

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2154.18 dp (1.38t + 64.1)? dt Year % Female Year % Female 1950 29.6 2010 47.9 1960 2015 2020 33.4 48.3 1970 38.1 48.1 1980 42.5 2030 48.0 1990 45.2 2040 47.9 2000 46.6 2050 47.9