Question

Score: U of 2 pls 6 of 25 (24 complete) X Bus Econ 6.1.23 Question Help On the basis of data from 1990 to 2006, the median income y in year x for men and women is approximated by the equations given below, where x=0 corresponds to 1990 and y is in constant 2006 dollars. If these equations remain valid in the future, in whal year will the median income of men and women be the same? Men Women: -239x + 2y = 57.139 -845x + 3y = 10,102 The median income of men and women will be the same in the year

Answer 1

The medican income of men in year x:

y = (57139 + 239x)/2

The median income of women in year x:

y = (40102 + 845x)/3

When the median incomes are equal in year x:

(57139 + 239x)/2 = (40102 + 845x)/3
171417 + 717x = 80204 + 1690x
91213 = 973x
x = 93.744

The median incomes will be equal when x = 94 OR in the year 2084