By using Social Security Administration data for selected years from 2012 and projected to 2050, the U.S. average annual wage, in thousands of dollars, can be modeled by
W(t) = 0.0212t2.11
where t is the number of years past 1975.
(a) Use the model to find a function that models the instantaneous rate of change of W.
(b) Find a function that models the rate at which the instantaneous rate from part (a) is changing.
(c) Find and interpret W(50), W'(50), and W"(50).