Complete the left-hand column of the table below following the steps indicated in the right-hand column to show that sin a sin b=1/2[cos(a-b)-cos(a+b)] is an identity. use the definitions of sum and difference formulas for cosine.

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?