The base of a solid is the region enclosed by the graphs of y=x^2-5x+7y=x 2 −5x+7y, equals, x, start superscript, 2, end superscript, minus, 5, x, plus, 7 and y=3y=3y, equals, 3, between x=1x=1x, equals, 1 and x=4x=4x, equals, 4. cross sections of the solid perpendicular to the xxx-axis are rectangles whose height is xxx. which one of the definite integrals gives the volume of the solid?

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?