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Obesity Using data for selected years from 1990 and projected to 2030, the rate of change of the percent of obese Americans who are severely obese can be modeled by the function f ′ ( x ) = 375 ( 0.743 x + 6.97 ) 2 percentage points per year, where x is the number of years after 1980 (Source: American Journal of Preventive Medicine). If 8.3% of obese Americans were severely obese in 1995, find the function f ( x ) that gives the percent of obese Americans who are severely obese. Use 3 significant digits. Use the function from part (a) to predict the percent of obese American adults who will be severely obese in 2025.

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Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
Publisher: Cengage Learning
ISBN: 9781305108042

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BuyFindarrow_forward

Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
Publisher: Cengage Learning
ISBN: 9781305108042
Chapter 12.2, Problem 55E
Textbook Problem
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Obesity Using data for selected years from 1990 and projected to 2030, the rate of change of the percent of obese Americans who are severely obese can be modeled by the function

f ( x ) = 375 ( 0.743 x + 6.97 ) 2

percentage points per year, where x is the number of years after 1980 (Source: American Journal of Preventive Medicine).

  1. If 8.3% of obese Americans were severely obese in 1995, find the function f ( x ) that gives the percent of obese Americans who are severely obese. Use 3 significant digits.

  2. Use the function from part (a) to predict the percent of obese American adults who will be severely obese in 2025.

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