Severely obese persons (BMI ≥ 40) have a greatly increased risk of diabetes, heart disease, and many other ailments that are very expensive to treat. The table gives the percent of Americans who are...


Severely obese persons (BMI ≥ 40) have a greatly increased risk of diabetes, heart disease, and many other ailments that are very expensive to treat. The table gives the percent of Americans who are severely obese from the year 1990 and projected to 2030.

























Year1990200020102015202020252030
% Severely
Obese
0.82.24.96.47.99.511.1


(a) Find an exponential function that models the data, with
x equal to the number of years after 1990 andy equal to the percent. (Round your numerical values to three decimal places.)



y =




(b) Does the unrounded model overestimate or underestimate the percent of severely obese Americans in 2020?



The model overestimates the projected total

The model underestimates the projected total





(c) According to the unrounded model, in what year are 9.8% of Americans expected to be severely obese?








Jun 03, 2022
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