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Obesity Obesity (BMI ≥ 30) increases the risk of diabetes, heart disease, and many other ailments. The percent of Americans who are obese from 2000 projected to 2030 is shown in the table below.
a. Graph the data points to determine whether a quadratic function is a reasonable model for the data.
b. If it is reasonable, find the quadratic function that models obesity, with x equal to the number of years after 2000 and y equal to the percent of obese Americans. Report the model with three significant digits.
c. Use the unrounded model to predict the percent with obesity in 2023.
(Source: American Journal of Preventive Medicine)
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College Algebra in Context with Integrated Review and Worksheets Plus MyLab Math with Pearson eText-- Access Card Package
- Does Table 1 represent a linear function? If so, finda linear equation that models the data.arrow_forwardIf you graph a revenue and cost function, explain how to determine in what regions there is profit.arrow_forwardLIFE SCIENCE APPLICATIONS Gender Ratio The number of males per 100 females, age 65 or over, in the United States for some recent years is shown in the following table. Source: The U.S Census Bureau. Year Males per 100 Females 1960 82.8 1970 72.1 1980 67.6 1990 67.2 2000 70.0 2010 77.0 a. Plot the data, letting x be the years since 1900. b. Would a linear or quadratic function best model this data? Explain. c. If your graphing calculator has a quadratic regression feature, find the quadratic function that best fits the data. Graph this function on the same calculator window as the data. See Example 7c. d. Choose the lowest point in the table above as the vertex and 110,77.0 as a second point to find a quadratic function defined by f(x)=a(xh)2+k that models the data. e. Graph the function from part d on the same calculator window as the data and function from part c. Do the graphs of the two functions differ by much? f. Predict the number of males per 100 females in 2004 using the two functions from parts c and d, and compare with the actual figure of 71.7.arrow_forward
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