A person's body mass index (BMI) is a function of their weight W (in kg ) and height H (in m ) g

Name: Problem 33, Chapter 12: Calculus Multivariable
Uploaded: 2021-07-03T19:57:12-08:00
Duration: 3 min 4 s
Channel: Kayla Robinson
Description: A person's body mass index (BMI) is a function of their weight W (in kg ) and height H (in m ) given by B(W, H)=W / H^2. A 1.58 m tall woman has a BMI of 23.2 . What is her weight?

step 1 In this problem, we will cover working backwards with two variable functions. So we are given a

Question

A person's body mass index (BMI) is a function of their weight $W$ (in $\mathrm{kg}$ ) and height $H$ (in $\mathrm{m}$ ) given by $B(W, H)=W / H^{2}$. A $1.58 \mathrm{m}$ tall woman has a BMI of $23.2 .$ What is her weight?

   A person's body mass index (BMI) is a function of their weight $W$ (in $\mathrm{kg}$ ) and height $H$ (in $\mathrm{m}$ ) given by $B(W, H)=W / H^{2}$.
A $1.58 \mathrm{m}$ tall woman has a BMI of $23.2 .$ What is her weight?

Calculus Multivariable

Deborah… 7th Edition

Chapter 12, Problem 33

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Solved by Expert Kayla Robinson

07/03/2021

Step 1

Here, $W$ represents weight in kilograms and $H$ represents height in meters. Show more…

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A person's body mass index (BMI) is a function of their weight $W$ (in $\mathrm{kg}$ ) and height $H$ (in $\mathrm{m}$ ) given by $B(W, H)=W / H^{2}$. A $1.58 \mathrm{m}$ tall woman has a BMI of $23.2 .$ What is her weight?

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Key Concepts

Body Mass Index (BMI)

BMI is a numerical value calculated using the weight and height of an individual, where it is defined as the weight divided by the square of the height. It is a commonly used indicator to assess whether a person's weight is within a healthy range in relation to their height.

Algebraic Manipulation

Algebraic manipulation involves rearranging equations and solving for unknown variables. In this context, it includes substituting known values into the BMI formula and isolating the weight variable by multiplying both sides of the equation by the square of the height.

Function Evaluation

Function evaluation refers to the process of substituting numerical values for the variables in a function to compute an output. Here, the BMI formula acts as a function that, when provided with a person's height and BMI, allows for the determination of their weight.

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