–3 = –2x2 + 2x

–3 = –2(x2 – x)

–3 + = –2(x2 – x + )

StartFraction negative 7 Over 2 EndFraction = –2(x – StartFraction 1 Over 2 EndFraction)2

StartFraction 7 Over 4 EndFraction = (x – StartFraction 1 Over 2 EndFraction)2

The two solutions are Plus or minus StartFraction StartRoot 7 EndRoot Over 2 EndFraction

Data from 2005 for various age groups show that for each $100 increase in the median weekly income for whites, the median weekly income of blacks increases by $105. also, for workers of ages 25 to 54 the median weekly income for whites was $676 and for blacks was $527. (a) let w represent the median weekly income for whites and b the median weekly income for blacks, and write the equation of the line that gives b as a linear function of w. b = (b) when the median weekly income for whites is $760, what does the equation in (a) predict for the median weekly income for blacks?