Calculating body-mass index (BMI) is a way to gauge whether...

Calculating body-mass index (BMI) is a way to gauge whether a person should lose weight. Doctors recommend that body-mass index values fall between 19 and $25 .$ The formula for body-mass index $B$ is $B=\frac{705 w}{h^{2}},$ where $w$ is weight in pounds and $h$ is height in inches Use this formula to answer Exercises 65 and 66. A patient is $5 \mathrm{ft} 8$ in. tall. What should his or her weight be to have a body-mass index of $25 ?$ Round to the nearest whole pound.

Calculating body-mass index (BMI) is a way to gauge whether a person should lose weight. Doctors recommend that body-mass index values fall between 19 and $25 .$ The formula for body-mass index $B$ is $B=\frac{705 w}{h^{2}},$ where $w$ is weight in pounds and $h$ is height in inches Use this formula to answer Exercises 65 and 66.
A patient is $5 \mathrm{ft} 8$ in. tall. What should his or her weight be to have a body-mass index of $25 ?$ Round to the nearest whole pound.

Key Concepts

Rounding

Rounding is the process of approximating a number to a specified degree of precision, often to simplify calculations or meet practical requirements. It is particularly important when the final answer needs to be expressed in whole units, such as whole pounds for weight.

Unit Conversion

Unit conversion is the process of converting measurements from one unit system to another, such as converting feet and inches to inches. In BMI calculations, consistent units are essential for the formula to work correctly, thereby ensuring accurate results.

Algebraic Manipulation

This involves rearranging and solving an equation to isolate and calculate an unknown variable. In the context of BMI calculations, algebraic manipulation allows for solving for weight or height when the BMI value and one of the other variables are provided.

Body Mass Index (BMI)

BMI is a numerical value derived from a person’s weight and height. It serves as a general indicator of whether a person is underweight, at a healthy weight, overweight, or obese. It does not directly measure body fat, but is widely used as a screening tool in health contexts.

BMI Formula Application

Using the BMI formula involves substituting a person's weight and height into an algebraic equation to calculate their BMI score. This application allows for the comparison of an individual's weight relative to their height and is integral for determining if they fall within recommended ranges.

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