An alternative to the body mass index (BMI) for estimating the health risks of obesity is A
Question:
An alternative to the body mass index (BMI) for estimating the health risks of obesity is A Body Shape Index (ABSI), given by
where w and h are the waist and height, respectively, in meters, and b is the BMI. (See the definition of BMI in the previous exercise.) The National Heart, Lung and Blood Institute uses the BMI to determine whether a person is “overweight” (25 ≤ BMI < 30) or “obese” (BMI ≥ 30).
(a) Suppose a man is 1.85 m tall with a waist of 0.864 m and a BMI of 23.1. Find the ABSI for such a person. How does this compare with the average ABSI for a 22-year-old man of 0.0778?
(b) For the person described in part (a), find the rate that the ABSI is going up with respect to his waist.
(c) For the person described in part (a), find the rate that the ABSI is changing with respect to his height.
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