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# The current and estimated resident populations (in percent) of blacks and Hispanics in the United States for the years $1990-2050$ are modeled by the linear functions defined below.$\begin{array}{ll} y=.0515 x+12.3 & \text { Blacks } \\ y=.255 x+9.01 & \text { Hispanics } \end{array}$In the case, $x$ 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.?

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In part $a$, we obtained $x=16$. To find the resident populations (in percentage) of Blacks in the year $2006$, we need to substitute the value of $x$ in the first equation and solve for $y$.

\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 $13.124\%$

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