A business banker works on commission based on the amount of loans made. He earns 5% on all loans made below $5000. He then begins earning 10% commission until he hits $50,000 in loans. Beginning with $50,000 his commision jumps to 15% for all remaining loans. Find a piecewise function for the banker’s commission on the total loans of x dollars

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?