Solve the problem.
-In a certain region, the median age of men, y, at their first marriage in a particular year can be approximated by the equation y = 0.12x + 23.7, where x represents the number of years after 1980
And y is in years. In the same region, the median age of women, y, at their first marriage in a
Particular year can be approximated by the equation y = 0.22x + 21.6, where x represents the
Number of years after 1980 and y is in years. If the current trend continues in this region, in what
Year will the median age of men at their first marriage equal the median age of women at their first
Marriage?
A) 2001
B) 2002
C) 2000
D) 1991

Question

Quizplus · Accepted Answer

The median age of men at their first marriage will equal the median age of women at their first marriage when the two equations are equal. So, we can set the two equations equal to each other and solve for x:0.12x + 23.7 = 0.22x + 21.60.1x = 2.1x = 21This means that the median age of men at their first marriage will equal the median age of women at their first marriage 21 years after 1980, which is in the year 2001.

Solve the Problem. -In a Certain Region, the Median Age of Men, Y