The federal government has developed the body mass index (bmi) to determine ideal weights. a person's bmi is directly proportional to his or her weight in pounds and inversely proportional to the square of his or her height in inches. (a bmi of 19 to 25 corresponds to a healthy weight.) a 6-foot-tall person weighing 177 lb has bmi 24. find the bmi (to the nearest whole number) of a person whose weight is 180180 lb and whose height is 7575 in.

Question

Physics

Brenton Vargas

3 April, 08:40

The federal government has developed the body mass index (bmi) to determine ideal weights. a person's bmi is directly proportional to his or her weight in pounds and inversely proportional to the square of his or her height in inches. (a bmi of 19 to 25 corresponds to a healthy weight.) a 6-foot-tall person weighing 177 lb has bmi 24. find the bmi (to the nearest whole number) of a person whose weight is 180180 lb and whose height is 7575 in.

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Answers (1)

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Meredith James · Answer 1

From what you said, BMI = kw/h²

where k is a proportionality constant, w is weight and h is height.

Take the data given and solve for k

24 = kw/h² = k177/72² = 0.0341k

k = 703

thus the equation is BMI = 703w/h²

BMI = 703•162 / 66² = 26