Females in the work force suppose the rate of change of the

Question

Females in the work force suppose the rate of change of the percent p of total U.S. workers who are female can be modeled by

dp/dt = [2154.18/(1.38t+64.1)²]

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 work force 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.