Marital Status of U.S. Adults 80% 71.7 Never Married Married 70% 65.5 61.9 60% 57.3 51.3 50% 40% 31.4 30% 22.2 23.9 20.3 20%- 16.2 10% 1970 1980 1990 2000 2013 Year Source: U.S. Census Bureau The data can be modeled by the following system of linear equations: Percentage of never-married American adults, y, x years after 1970 -3x + 10y = 160 x + 2y = 142. Percentage of marrie d American adults, y, x years after 1970 Percentage of American Adults 80 70 Married 60 x + 2y = 142 50 40 Never 30 Married 20 3x + 10y = 160 10 10 20 30 40 50 60 70 80 90 Years after 1970 Percentage of American Adults
Marital Status of U.S. Adults 80% 71.7 Never Married Married 70% 65.5 61.9 60% 57.3 51.3 50% 40% 31.4 30% 22.2 23.9 20.3 20%- 16.2 10% 1970 1980 1990 2000 2013 Year Source: U.S. Census Bureau The data can be modeled by the following system of linear equations: Percentage of never-married American adults, y, x years after 1970 -3x + 10y = 160 x + 2y = 142. Percentage of marrie d American adults, y, x years after 1970 Percentage of American Adults 80 70 Married 60 x + 2y = 142 50 40 Never 30 Married 20 3x + 10y = 160 10 10 20 30 40 50 60 70 80 90 Years after 1970 Percentage of American Adults
Chapter7: Matrices And Determinants
Section: Chapter Questions
Problem 6PS: Satellite Television: Two competing companies offer satellite television to a city with 100,000...
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Question
The bar graph indicates the fewer U.S. adults are getting married. The data can be modeled by the following system of linear equations: Solve,
a) Use the given models to determine the year, rounded to the nearest year, when the percentage of never-married adults will be the same as the percentage of married adults. For that year, approximately what percentage of Americans, rounded to the nearest percent, will belong to each group?
b. How is your approximate solution from part (a) shown by the following graphs?
Transcribed Image Text:Marital Status of U.S. Adults
80%
71.7
Never Married
Married
70%
65.5
61.9
60%
57.3
51.3
50%
40%
31.4
30%
22.2
23.9
20.3
20%- 16.2
10%
1970
1980
1990
2000
2013
Year
Source: U.S. Census Bureau
The data can be modeled by the following system of linear
equations:
Percentage of never-married American
adults, y, x years after 1970
-3x + 10y = 160
x + 2y = 142.
Percentage of marrie d American
adults, y, x years after 1970
Percentage of
American Adults
Transcribed Image Text:80
70
Married
60
x + 2y = 142
50
40
Never
30
Married
20
3x + 10y = 160
10
10
20
30 40 50 60
70 80
90
Years after 1970
Percentage of
American Adults
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