OTHER APPLICATIONS Marriage 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 . Source: U.S. Census Bureau. Age at First Marriage Year 1980 1990 2000 2010 Men 24.7 26.1 26.8 28.2 Women 22.0 23.9 25.1 26.1 a. Find a linear equation that approximates the data for men, using the data for the years 1980 and 2010 . 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?
OTHER APPLICATIONS Marriage 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 . Source: U.S. Census Bureau. Age at First Marriage Year 1980 1990 2000 2010 Men 24.7 26.1 26.8 28.2 Women 22.0 23.9 25.1 26.1 a. Find a linear equation that approximates the data for men, using the data for the years 1980 and 2010 . 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?
Solution Summary: The author explains the linear equation that approximates the data of men for the year 1980 and 2010.
Marriage 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
. Source: U.S. Census Bureau.
Age at First Marriage
Year
1980
1990
2000
2010
Men
24.7
26.1
26.8
28.2
Women
22.0
23.9
25.1
26.1
a. Find a linear equation that approximates the data for men, using the data for the years
1980
and
2010
.
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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