\( 21,22,23 \) Last year Frank had a total income of \( \$ 58,800 \). He sold a house and made a profit of \( \$ 27,940 \). He also had monthly income of \( \$ 80 \) trom investments, Assuming Frank works 25 hours per week and 52 weeks per year as an hourly employee, how much more an hour would Frank had to have earned last year in order to have a total income of \( \$ 59,970 \) ? a. \( \$ 0.63 \) b. \( \$ 0.72 \) c. \( \$ 0.80 \) d. \( \$ 0.90 \)

Frank's total income last year was made up of three parts: • Hourly income (from working 25 hours per week for 52 weeks, which equals 25 × 52 = 1300 hours) • Profit from the house sale: $27,940 • Monthly investment income: $80 per month (or 80 × 12 = $960 per year) Step 1. Find his original hourly wage. Let x = his hourly wage. Then his income from hourly work is 1300·x. His total income is:   Total income = (hourly income) + (house profit) + (investment income)   58,800 = 1300·x + 27,940 + 960   58,800 = 1300·x + 28,900 Subtract 28,900 from both sides:   1300·x = 58,800 − 28,900   1300·x = 29,900 Now solve for x:   x = 29,900 / 1300   x = 23 So, Frank’s original hourly wage was $23. Step 2. Determine the hourly wage needed to reach a total income of $59,970. Let y = the required hourly wage. Then:   1300·y + 27,940 + 960 = 59,970   1300·y + 28,900 = 59,970 Subtract 28,900 from both sides:   1300·y = 59,970 − 28,900   1300·y = 31,070 Solve for y:   y = 31,070 / 1300   y = 23.9 Step 3. Find the increase in his hourly wage:   Required increase = y − x = 23.9 − 23 = 0.9 Thus, Frank would have had to earn an extra $0.90 per hour. The correct answer is (d) $0.90.