86. Populations of Minorities in the United States The current and estimated resident populations, y, (in percent) of Black and Spanish/Hispanic/Latino people in the United States for the years 1990-2050 are modeled by the following linear equations. y = 0.0515x + 12.3 Black y = 0.255x + 9.01 Sp./Hisp./Lat. In each case, x represents the number of years since 1990. (Source: U.S. Census Bureau.) (a) Solve the system to find the year when these population percents were equal. (b) What percent of the U.S. resident population will be Spanish/Hispanic/Latino in the year found in part (a) (c) Graphically support the analytic solution in part (a). (d) Which population is increasing more rapidly?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
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86. Populations of Minorities in the United States The
current and estimated resident populations, y, (in
percent) of Black and Spanish/Hispanic/Latino people
in the United States for the years 1990-2050 are modeled
by the following linear equations.
y = 0.0515x + 12.3
Black
y = 0.255x + 9.01
Sp./Hisp./Lat.
In each case, x represents the number of years since 1990.
(Source: U.S. Census Bureau.)
(a) Solve the system to find the year when these population
percents were equal.
(b) What percent of the U.S. resident population will be
Spanish/Hispanic/Latino in the year found in part (a)
(c) Graphically support the analytic solution in part (a).
(d) Which population is increasing more rapidly?
Transcribed Image Text:86. Populations of Minorities in the United States The current and estimated resident populations, y, (in percent) of Black and Spanish/Hispanic/Latino people in the United States for the years 1990-2050 are modeled by the following linear equations. y = 0.0515x + 12.3 Black y = 0.255x + 9.01 Sp./Hisp./Lat. In each case, x represents the number of years since 1990. (Source: U.S. Census Bureau.) (a) Solve the system to find the year when these population percents were equal. (b) What percent of the U.S. resident population will be Spanish/Hispanic/Latino in the year found in part (a) (c) Graphically support the analytic solution in part (a). (d) Which population is increasing more rapidly?
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