Men in the Workforce The number of men in the workforce (in millions) for selected decades...

Men in the Workforce The number of men in the workforce (in millions) for selected decades from 1890 to 2010 is shown in the figure. The decade is defined by the year at the beginning of the decade, and g(t) is defined by the average number of men (in millions) in the workforce during the decade (indicated by the point on the graph within the decade). The data can be approximated by the linear model determined by the line connecting (1890, 18.1) and (1990, 68.5).

a. Write the equation of the line connecting these two points to find a linear model for the data.

---

b. Does this line appear to be a reasonable fit to the data points?

---

c. How does the slope of this line compare with the average rate of change in the function during this period?