Shown below are the steps a student took to solve the simple interest formula A = P(1 + rt) for r. uppercase A = uppercase P (1 + r t). uppercase A = uppercase P + r t. uppercase A minus uppercase P = r t. r = StartFraction (uppercase A minus uppercase P) Over t End Fraction Explain the algebraic error in the student’s work. Then, state how the equation r = StartFraction (uppercase A minus uppercase P) Over t EndFraction can be modified to produce the correct result.

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?