Concept explainers
To find: whether the median salary of women will ever be equal to the men’s. If yes, then predict the year and give explanation.
Answer to Problem 13E
No, the median salary of women will not ever be equal to the men’s because the slope of salary over time for women does not result in a cross with the line representing the median salary of men.
Explanation of Solution
Given information:
The table for median salary ($) is given below.
Year | Men’s median salary | Women’s median salary |
1990 | 20293 | 10070 |
1991 | 20469 | 10476 |
1992 | 20455 | 10714 |
1993 | 21102 | 11046 |
1994 | 21720 | 11466 |
1995 | 22562 | 12130 |
1996 | 23834 | 12815 |
1997 | 25212 | 13703 |
1998 | 26492 | 14430 |
1999 | 27275 | 15311 |
2000 | 28343 | 16063 |
2001 | 29101 | 16614 |
Calculation:
The graph for the given data is as follows:
The slope of salary over time for women does not result in a cross with the line representing the median salary of men. The growth rate for women is less than that for men. If the trend continues, the men's median salary will always be more than that of the women.
Thus, the median salary of women will not ever be equal to the men’s.
Chapter 1 Solutions
Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
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