2010 0-17 18-64 65+ Northeast 12,306 35,240 7830 Midwest 16,095 41,830 27,799 72,075 9051 South 14,985 Mountain 5698 13,717 2710 Pacific 12,222 31,867 5901 2013 0-17 18–64 65+ Northeast 12,026 35,471 8446 Midwest 15,772 41,985 27,954 73,703 5710 14,067 9791 South 16,727 Mountain 3104 Pacific 12,124 32,614 6636

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 52E
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The matrices show the numbers of people (in thousands) who lived in each region of the United States in 2010 and 2013. The regional populations are separated into three age categories. (Source: U.S. Census Bureau)
(a) The total population in 2010 was approximately 309 million and the total population in 2013 was about 316 million. Rewrite the matrices to give the information as percents of the total population.
(b) Write a matrix that gives the changes in the percents of the population in each region and age group from 2010 to 2013.
(c) Based on the result of part (b), which age group(s) show relative growth from 2010 to 2013?

2010
0-17
18-64
65+
Northeast
12,306 35,240
7830
Midwest
16,095 41,830
27,799 72,075
9051
South
14,985
Mountain
5698 13,717
2710
Pacific
12,222 31,867
5901
2013
0-17
18–64
65+
Northeast
12,026 35,471
8446
Midwest
15,772 41,985
27,954 73,703
5710 14,067
9791
South
16,727
Mountain
3104
Pacific
12,124 32,614
6636
Transcribed Image Text:2010 0-17 18-64 65+ Northeast 12,306 35,240 7830 Midwest 16,095 41,830 27,799 72,075 9051 South 14,985 Mountain 5698 13,717 2710 Pacific 12,222 31,867 5901 2013 0-17 18–64 65+ Northeast 12,026 35,471 8446 Midwest 15,772 41,985 27,954 73,703 5710 14,067 9791 South 16,727 Mountain 3104 Pacific 12,124 32,614 6636
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