The body-mass index, or BMI, is used by physicians to assess a person's level of body fat. The 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 118 pounds and is 64 inches tall has a BMI of 20 (rounded to the nearest whole number).

Find the BMI of a person who weighs 165 pounds and is 70 inches tall.

To find the BMI of a person weighing 165 pounds and 70 inches tall, we use the formula BMI = 703 × weight (lbs) / [height (in)]². The calculation yields a BMI of approximately 23.7, which falls within the normal weight category.

Explanation:

The body-mass index (BMI) is a measure that compares a person’s weight to their height to assess if they are underweight, normal weight, overweight, or obese. It is calculated by dividing a person’s weight in pounds by their height in inches squared and then multiplying the result by 703. For a person who weighs 165 pounds and is 70 inches tall, their BMI can be calculated using the formula:

BMI = 703 × weight (lbs) / [height (in)]²

Substituting the given values, we get:

BMI = 703 × 165 / (70²) = 703 × 165 / 4900 = 23.7

After calculation, the BMI for a person weighing 165 pounds and with a height of 70 inches is approximately 23.7, which is considered to be in the normal weight range.