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The current and estimated resident populations (in percent) of blacks and Hispanics in the United States for the years 199020501990-2050 are modeled by the linear functions defined below.

y=.0515x+12.3 Blacks y=.255x+9.01 Hispanics \begin{array}{ll} y=.0515 x+12.3 & \text { Blacks } \\ y=.255 x+9.01 & \text { Hispanics } \end{array}

In the case, xx represents the number of years since 1990.

(b) What percent of the U.S. resident population will be black or Hispanic in the year found in earlier part.?


Answered 1 year ago
Answered 1 year ago
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In part aa, we obtained x=16x=16. To find the resident populations (in percentage) of Blacks in the year 20062006, we need to substitute the value of xx in the first equation and solve for yy.

y=0.0515(16)+12.3=0.824+12.3=13.124\begin{aligned} y&=0.0515(16)+12.3\\ &=0.824+12.3\\ &=13.124 \end{aligned}

Thus, the resident populations (in percentage) of Blacks is 13.124%13.124\%

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