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Body-mass index, or? BMI, takes both weight and height into account when assessi

ID: 3185087 • Letter: B

Question

Body-mass index, or? BMI, takes both weight and height into account when assessing whether an individual is underweight or overweight. BMI varies directly as? one's weight, in? pounds, and inversely as the square of? one's height, in inches. In? adults, normal values for the BMI are between 20 and? 25, inclusive. Values below 20 indicate that an individual is underweight and values above 25 indicate that an individual is overweight. A person who weighs 180 pounds and is 5? feet, or 60? inches, tall has a BMI of 35.15. Use the? four-step procedure for solving variations to determine what the BMI? is, to the nearest? tenth, for a 210 lb person who is 6 feet 1 inches tall. is this person underweight, normal weight, or over weight.

what is the BMI of a 210-pound person who is 6 feet 1 inches tall? (round to the nearest tenth as needed)

Explanation / Answer

BMI = kW/h^2, where k is a constant

35.15 = k*180/60^2 or, k = 703

Now BMI for 210 pound person (6 ft 1 in = 6*12+1 = 73 in)

BMI = 703 * 210/73^2 = 27.7 > 25 , hence overweight