Medicare recipients The function f given by where z = x - 1973, approximates...

Medicare recipients

The function f given by

where z = x - 1973, approximates the total number of Medicare recipients in millions, from x = 1973 to x = 2005. There were 23,545,363 Medicare recipients in 1973 and 42,394,926 in 2005.

(a) Graph f, and discuss how the number of Medicare recipients has changed over this time period.

(b) Create a linear model similar to f that approximates the number of Medicare recipients. Which model is more realistic?