Convert the data from the chart into the table as follows:

Year	Years past 65 Men
1950	12.8
1960	12.9
1970	13.1
1980	14
1990	15
2000	15.9
2010	16.4
2020	16.9
2030	17.5

(a) Let us find a linear functionthat models the data, with x equal to the number of years after 1950 and y equal to the number of years the average 65-year-old man is estimated to live beyond age 65.

Enter the data from the above table in the lists of a graphing utility.

The figure below shows a partial list of the data points.

The equation that fits the data, found using linear regression with a graphing calculator.

Thus, a linear functionthat models the data, rounded to three decimals is.