Question

The body mass index (BMI estimates the amount of fat in a person's body. It is defined as the person's mass m in kilograms divided by the square of the person's height h in meters. Write the formula for BMI in terms of m and h. 0 BMI In the United States, most people measure weight in pounds and height in feet and inches. When weight W is measured in pounds and height h is measured in inches, the BMI formula is BMI = 703W/h2 Identify the product that produces the English-to-metric conversion factor of 703. A person with a BMI between 25.0 and 30.0 is considered overweight. If a person is 62" tall, for what range of mass mmin S m S mmax will he be considered overweight? kg mmin- mmax = kg

Answer 1

BMI = m / h²

-------------------------------------------------------------

This is just simple conversion

1 kg = 2.20462 pounds

1 m = 39.3701 inches

so,

The factor 703 comes from

39.3701² /  2.20462 = 703

--------------------------------------------------------------------

m_min = BMI_min * h²

m_min = 25 * 1.89²

m_min = 89.3 Kg

and

m_max = 30 * 1.88976²

m_max = 107.1 Kg