The following table lists the U.S. median age at first marriage for men and women. The age at which both groups marry for the first time seems to be increasing at a roughly linear rate in recent decades. Let t correspond to the number of years since 1980.

a. Find a linear equation that approximates the data for men, using the data for the years 1980 and 2005.

b. Repeat part a using the data for women. 

c. Which group seems to have the faster increase in median age at first marriage?

d. In what year will the men’s median age at first marriage reach 30?

e. When the men’s median age at first marriage is 30, what will the median age be for women?

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Year Men Age at First Marriage 1980 1985 1990 1995 2000 24.7 25.5 26.1 26.9 26.8 23.3 23.9 24.5 25.1 Women 22.0 2005 27.1 25.3