The table gives the percent of men 65 years or older in the workforce for selected years from 1920 and projected to 2030.

(a) With x as the number of years after 1900, find the cubic function that models these data. Report the model with three significant digits.

(b) Use the reported model to determine when the rate of change of the percent of elderly men in the workforce reached its minimum.

(c) On the graph of this model, to what does the result in part (b) correspond?

Transcribed Image Text:

Year Percent Year Percent 1920 55.6 1980 19.0 1930 54.0 1990 16.3 1940 41.8 2000 17.7 1950 45.8 2010 22.6 1960 33.1 2020 27.2 1970 21.8 2030 27.6