# Modeling U.S. workforce Since 1950 the U.S. work-force has seen the arrival of the Baby Boomers and the changing role of women, among other influences. The data in the table show the millions of men and women in the U.S. workforce for selected years from 1950 and projected to 2050. Complete the following to explore the dynamics of the changing roles of men and women in the workforce. With x representing the number of years past 1950, use the data in the table to find a linear model for the number of men in the workforce, m ( x ) , and a model for the number of women in the workforce, w ( x ) . Report each model with three significant digits. Use the results from part (a) to find the function r ( x ) that gives the ratio of men to women in the U.S. workforce. Find lim x → 0 r ( x ) and lim x → 100 r ( x ) , and interpret their meanings. Find lim x → ∞ r ( x ) and interpret its meaning.

### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
Publisher: Cengage Learning
ISBN: 9781305108042

Chapter
Section

### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
Publisher: Cengage Learning
ISBN: 9781305108042
Chapter 9.2, Problem 53E
Textbook Problem
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## Modeling U.S. workforce Since 1950 the U.S. work-force has seen the arrival of the Baby Boomers and the changing role of women, among other influences. The data in the table show the millions of men and women in the U.S. workforce for selected years from 1950 and projected to 2050. Complete the following to explore the dynamics of the changing roles of men and women in the workforce. With x representing the number of years past 1950, use the data in the table to find a linear model for the number of men in the workforce, m ( x ) , and a model for the number of women in the workforce, w ( x ) . Report each model with three significant digits. Use the results from part (a) to find the function r ( x ) that gives the ratio of men to women in the U.S. workforce. Find lim x → 0 r ( x ) and lim x → 100 r ( x ) , and interpret their meanings. Find lim x → ∞ r ( x ) and interpret its meaning.

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