The table gives the size of the U.S. civilian labor force (in millions) for selected years from

Question:

The table gives the size of the U.S. civilian labor force (in millions) for selected years from 1950 and projected to 2050.

(a) Find a cubic function that models these data, with x equal to the number of years after 1950 and y equal to the labor force in millions. Report the model with three significant digit coefficients.

(b) Use the reported model to find the year when the second derivative predicts that the rate of change of the civilian labor force begins to decrease.