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 1989 and 2019.
(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) According to the equation from part (a), in what year will the men’s median age at first marriage reach 32?
(e) When the men’s median age at first marriage is 32, what will the median age be for women?

Transcribed Image Text:

Year Men Women Age at First Marriage 1989 1999 2009 26.2 26.9 28.1 23.8 25.1 25.9 2019 29.8 28.0