Modeling Projections indicate that the percent of U.S. adults with diabetes could dramatically increase, and already in 2007 this disease had cost the country almost $175 billion.
The table gives the percent of U.S. adults with diabetes for selected years from 2010 and projected to 2050.
(a) Find a logarithmic model, y = f(x), for these data. Use x = 0 to represent 2000.
(b) Find the function that models the rate of change of the percent of U.S. adults with diabetes.
(c) Find and interpret f(25) and f r(25).