The table gives the number of women age 16 years or older (in millions) in the U.S. civilian workforce for selected years from 1950 and projected to 2050.

(a) Use x as the number of years past 1950 to create a cubic model using these data. Report the model with three significant digit coefficients.

(b) During what year does the reported model indicate that the rate of change of the number of women in the workforce reached its maximum?

(c) What feature of the graph of the function found in part (a) is the result found in part (b)?

Transcribed Image Text:

Millions of Women in Year the Workforce 1950 18.4 1960 23.2 1970 31.5 1980 45.5 1990 56.8 2000 65.6 2010 75.5 2015 78.6 2020 79.2 2030 81.6 2040 86.5 2050 91.5