Obesity (BMI ‰¥ 30) increases the risk of diabetes, heart disease, and many other ailments, but the severely obese (BMI 40) are most at risk and are the most expensive to treat. The table gives the percent of the Americans who are severely obese for the years from 1990 and projected to 2030.
(a) Find an exponential function that models the data, with x equal to the number of years after 1980 and y equal to the percent. Report the model with three significant digits.
(b) Use the reported model to find the instantaneous rate of change of severe obesity.
(c) At what rate is severe obesity projected to increase in 2020?

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1990 2000 2010 2015 2020 2025 2030 11.1 Year 4.9 2.2 6.4 7.9 9.5 0.8 Severely Obese