28. BABY BOOMERS AND SOCIAL SECURITY BENEFITS Aging baby boomers will put a strain on Social Security benefits unless Congress takes action. The Social Security benefits to be paid out from 2010 through 2040 are projected to be S(t) = 0.137512 + 0.5185t + 0.72 (0 st s 3 ) where S(t) is measured in trillions of dollars and t is mea- sured in decades, with t = 0 corresponding to 2010. a. What was the amount of Social Security benefits paid out in 2010? b. What is the amount of Social Security benefits pro- jected to be paid out in 2040?