The following table shows the U.S. average annual wage in thousands of dollars for selected years from 2012 and projected to 2050. Suppose the rate of change of the U.S. average annual wage can be modeled by
dW / dt = 1.66e0.0395t
thousand dollars per year, where t is the number of years past 2010.
(a) Use the data to find the average rates of change of the U.S. average annual wage from 2014 to 2016 and from 2016 to 2018. Which of these average rates better approximates the instantaneous rate in 2016?
(b) Use the data point from 2016 to find the function that models W(t). Use three significant digits.