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Body mass index (BMI) is used by physicians to assess a person's level of fatness. BMI varies directly as an individual's weight in pounds and inversely as the square of the individual's height in inches. A person who weighs 163 lb and is 71 in. tall has a BMI of 22.73.

Use the formula [tex]B = \frac{k \cdot w}{h^2}[/tex] to find the Body Mass Index of a man with the given weight and height.

Weight: 165 pounds
Height: 68 inches

Answer :

Final answer:

To calculate the BMI of a man weighing 165 pounds and 68 inches tall, use the BMI formula of 703 x weight (lbs) / [height (in)]², resulting in a BMI of approximately 25.08. This suggests the individual is in the overweight category.

Explanation:

To find the Body Mass Index (BMI) of a man who weighs 165 pounds and is 68 inches tall, we use the formula provided, which is BMI = 703 x weight (lbs) / [height (in)]². In this case, the BMI is calculated as follows:

BMI = 703 x 165 / 68²

BMI = 703 x 165 / 4624

BMI = 115995 / 4624

BMI ≈ 25.08

After computing, we find that the BMI of this individual is approximately 25.08. When rounding to the nearest whole number as is often done in health assessments, the BMI would be 25. This BMI would be considered in the overweight category which ranges from 25 to 29.9, according to the standards used by health professionals.

The conclusion is that BMI is a useful measure but has its limitations, as it may not accurately represent body fatness, especially in individuals with high muscle mass such as athletes.

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