How wide is the chasm between what men and women earn in the workplace? According to a 2015 analysis from a national women's group, women lose $435,049 over the course of a career because of the pay gap. The bar graph to the right shows the average earnings in the United States for men and women at ages 22 and 60. This exercise involves the graphs of models for the data shown in the rectangular coordinate system to the right. Complete parts (a) through (c) below. Average Yearly Earnings ($1000s) Average Yearly Earnings in the U.S., by Gender and Age 70- 60- Men 50 Women 40- 30- 20- 10- 0- 22 Age 60 Average Yearly Earnings ($1000s) $70 (30,67). $60- $50 (0,24 $40- $30 $20 $10- $0- 0 (0,21) Men (30,40) Women 10 20 30 40 50 Years after Age 22

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
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How wide is the chasm between what men and
women earn in the workplace? According to a
2015 analysis from a national women's group,
women lose $435,049 over the course of a
career because of the pay gap. The bar graph
to the right shows the average earnings in the
United States for men and women at ages 22
and 60. This exercise involves the graphs of
models for the data shown in the rectangular
coordinate system to the right. Complete parts
(a) through (c) below.
Average Yearly Earnings ($1000s)
Average Yearly Earnings in the
U.S., by Gender and Age
70-
60-
■Men
50 Women
40-
30-
20-
10-
0-
22 Age 60
Average Yearly Earnings ($1000s)
$70-
$60-
(30,67)..
$50 (0,24)
$40+
$30+
$20-
$10-
$0+
0
M(age=38) = $
thousand
(Type an integer or decimal rounded to one decimal place as needed.)
♦
(0,21)
Men
*(30,40)
Women
10 20 30 40 50
Years after Age 22
--X7
(Use integers or decimals for any numbers in the expression. Round to two decimal places as needed.)
b. Use the two points for women shown on the graph to find a function in the form W(x) = mx + b that models average
yearly earnings for women x years after age 22.
W(x) = 0.63x + 21
(Use integers or decimals for any numbers in the expression. Round to two decimal places as needed.)
c. Use the models in parts (a) and (b) to find the average yearly earnings for men and women at age 38. How are these
values shown on the graphs of the models for the data? What is the difference between earnings for men and women at
that age? Start by finding the average yearly earnings for men at age 38.
Transcribed Image Text:How wide is the chasm between what men and women earn in the workplace? According to a 2015 analysis from a national women's group, women lose $435,049 over the course of a career because of the pay gap. The bar graph to the right shows the average earnings in the United States for men and women at ages 22 and 60. This exercise involves the graphs of models for the data shown in the rectangular coordinate system to the right. Complete parts (a) through (c) below. Average Yearly Earnings ($1000s) Average Yearly Earnings in the U.S., by Gender and Age 70- 60- ■Men 50 Women 40- 30- 20- 10- 0- 22 Age 60 Average Yearly Earnings ($1000s) $70- $60- (30,67).. $50 (0,24) $40+ $30+ $20- $10- $0+ 0 M(age=38) = $ thousand (Type an integer or decimal rounded to one decimal place as needed.) ♦ (0,21) Men *(30,40) Women 10 20 30 40 50 Years after Age 22 --X7 (Use integers or decimals for any numbers in the expression. Round to two decimal places as needed.) b. Use the two points for women shown on the graph to find a function in the form W(x) = mx + b that models average yearly earnings for women x years after age 22. W(x) = 0.63x + 21 (Use integers or decimals for any numbers in the expression. Round to two decimal places as needed.) c. Use the models in parts (a) and (b) to find the average yearly earnings for men and women at age 38. How are these values shown on the graphs of the models for the data? What is the difference between earnings for men and women at that age? Start by finding the average yearly earnings for men at age 38.
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