Obesity (BMI 30) is a serious problem in the United States and expected to get worse. Being

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Obesity (BMI 30) is a serious problem in the United States and expected to get worse. Being overweight increases the risk of diabetes, heart disease, and many other ailments. The table gives the percent of Americans who are obese for selected years from 1990 and projected to 2030.
1990 2000 2010 2015 2020 2025 2030 Year 30.9 34.5 37.4 12.7 22.1 39.9 42.2 % Obese

(a) Find a logarithmic 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 obesity.
(c) At what rate is obesity projected to increase in 2020?

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