Chapter P.3, Problem 54E

### Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742

Chapter
Section

### Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742
Textbook Problem
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# APPLICATIONSBody-Mass Index The body-mass index is a measure that medical researchers use to determine whether a person is overweight, underweight, or normal weight. For a person who weighs W pounds and who is H inches tall, the body-mass index B is given by B = 703 W H 2 A body-mass index is considered “normal” if it satisfies 18.5 ≤ B ≤ 24.9 , while a person with body-mass index B ≤ 30 is considered obese.(a) Calculate the body-mass index for each person listed in the table, the determine whether he or she is of normal weight, underweight, overweight, or obese. Person Weight Height Brian 295 lb 5 ft 10 in. Linda 105 lb 5 ft 6 in. Larry 220 lb 6 ft 4 in. Helen 110 lb 5 ft 2 in. (b) Determine your own body-mass index.

To determine

a)

The body mass index for each person listed in the given table and then determine whether he or she is of normal weight, underweight, overweight or obese.

Explanation

Given:

The body-mass index is a measure that medical researchers use to determine whether a person is overweight, underweight, or normal weight. For a person who weighs W pounds and who is H inches tall, the body mass index B is given by

B=703WH2

Calculation:

Convert all the height in inches 1ft=12in.

 Name Height Brian 5â‹…12+10 inches Linda 5â‹…12+6 inches Larry 6â‹…12+4 inches Helen 6â‹…5+2 inches

First, we have to calculate the body-mass index for Brain.

B=703295(5â‹…12+10)2=703295(70)2=42

To determine

b)

The body mass index for John and then determine whether he is normal weight, underweight, overweight or obese.

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