Health Health care professionals use the body mass index...

Name: Problem 59, Chapter 9: Algebra 2
Uploaded: 2020-02-16T20:07:12-08:00
Duration: 2 min 35 s
Channel: Charles Carter
Description: Health Health care professionals use the body mass index (BMI) to establish guidelines for determining any possible risk of their patients and for planing any useful preventative programs. The BMI varies directly with weight and inversely with the square of height. Use this portion of the BMI chart to determine the BMI formula.

Health Health care professionals use the body mass index (BMI) to establish guidelines for determining any possible risk of their patients and for planing any useful preventative programs. The BMI varies directly with weight and inversely with the square of height. Use this portion of the BMI chart to determine the BMI formula.

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Direct Variation

Direct variation describes a relationship where one variable increases proportionally as another variable increases. In this context, BMI increases as weight increases, reflecting that heavier weights directly contribute to a higher BMI when height is fixed.

Inverse Variation

Inverse variation occurs when one variable increases as another variable decreases, specifically at a rate that keeps their product constant. Here, BMI varies inversely with the square of height, meaning that taller heights (when squared) lead to a lower BMI for the same weight.

Proportionality Constant

A proportionality constant is used to adjust the relationship between variables to maintain unit consistency and align with empirical standards. In the BMI formula, this constant ensures that the calculation accurately reflects the ratio of weight to the square of height, as established by health guidelines.

Body Mass Index (BMI) Formula

The BMI formula encapsulates the combined effects of direct variation with weight and inverse variation with height squared. It is typically expressed as the product of a constant and the ratio of weight to the square of height, forming a key mathematical tool for assessing health risks related to body weight.

Transcript

Please give Ace some feedback