The following table gives the total number of U.S adults with diabetes for selected years from 2010 and projected to 2050.
(a) Find the logistic function that models these data. Use x equal to the number of years past 2000.
(b) Use the model to predict the number of U.S. adults expected to have diabetes in 2028.
(c) According to the model, what is the expected upper limit on the number of U.S. adults with diabetes?
(d) In what year does the model predict that the number of U.S. adults with diabetes will reach 80.0 million?

Transcribed Image Text:

Number Number Year (millions) Year (millions) 2010 2035 76.2 32.3 2015 37.3 2040 84.1 2020 91.7 50.0 2045 2025 59.5 2050 100.0 2030 68.3