Inequalities
Deborah White
Ashford University
MAT221: Introduction to Algebra (AFN1312A)
Instructor: Tracy Abram
April 1, 2013

On page 151 of Elementary and Intermediate Algebra, the Body Mass Index (BMI) is given as: BMI= 703W/H2
W = one’s weight in pounds
H = one’s height in inches.
By calculating four intervals based on your height can be possible by using the Body Mass Index formula. However, in this situation I am going to use inequalities to calculate Body Mass Index(BMI) which is meant to use my height to calculate if I’m overweight , having a longer life span than average, or to calculate if I’m obese. In the real world it is significant to have knowledge about being overweight because this could come into the use of attention of medical assistance. By using inequalities and solving them could serve a far more severe importance than just a mathematical problem. The first interval for this problem is the solvation for a longer life span than average. 17< BMI <22The compound inequality.

17< 703W/H2 <22Use the BMI formula in replace of the original compound inequality so we now have an equivalent inequality.
17< 703W/62.002 <22 I replaced H2 for my height in inches. 17< 703W/3844 <22Then, I multiplied the three numbers by the denominator to rid the
exponent that was on the bottom associated with my height. 17(3844)< 703W(3844)/3844 < 22(3844) In the fraction bar, the cancelling is made. 65348< 703W< 84568 The multiplications were carried out when I multiplied all of the

numbers by 32844.
65348/703 < 703W/703 < 84568/703 I divide all three of the fractions by 703 to get W by itself. 93< W< 120.3
People who have the height of 62 inches will have a longer life span between the weight of 93 and 120.3 pounds. For my second interval, there are two ways of solving it. Without solving for W at the end, I’m going to separate W by itself before I go about solving it. 23<...

...Inequalities
In this assignment I will demonstrate every step of the process of determining my bodymassindex or BMI. After finding the bodymassindex I will then complete the following
intervals based on my height. The formula used to determine the bodymassindex is BMI= 703W , where W represents a person weight in pounds and H represents a person
H2
height in inches.
My height is 70 inches. The first interval shows a compoundinequality for:
17<BMI<22
17<703W<22
H2 To make it an equivalent inequality I replaced the BMI with the formula
17<703W<22
702 My height in inches replaced H2
17<703W<22
4900 then multiply by the height that was squared
17(4900)<703W<22(4900)
4900 cancelling is performed
83300 <703W<107800 multiplication carried out
83300<703W<107800
703 703 703 to get W by itself all terms were divided by 703
118.49<W<153.34
After completing the problem I determined that people who are 70 inches may have a longer that average life if they weigh between 118.49 and 153.34
To solve this interval I’m going to solve for W...

... Using the inequalities when working out your math problems you have to make sure that you are using the proper format of the problem. I will also be using equations that are equivalent to one another, along with compoundinequality and showing the intervals of the problem and infinity of the problem. I will be using the terms inequality, equivalent, compoundinequality, interval and infinity.
I will be using the formula for BodyMassIndex for the problems that I am working to solve and to calculate. According to Dugopolski, “The formula for BodyMassIndex is: BMI=703W” (2012).
BMI=703W
H2
Where W = one’s weight in pounds, and H = one’s height in inches.
17<BMI<22
17<703W<22 this is an equivalent inequality replacing BMI with the formula
H2
17<703W<22 H2 is replaced by the height in inches
65.52
17<703W < then you multiply all three of the terms by the denominator
65.52
17(4290.25) < 703W (4290.25) < 22(4290.25) the canceling has been done
4290.25
72934.25 < 703W < 94385.5 the multiplication has been done also
72934.25 < 703W < 94385.5 the terms has been divided and the W has been isolated
703 703 703
104 < 134...

...BodyMassIndex Survey
I asked staff if they would volunteer to assist me in doing a survey for the BodyMassIndex with in the company
To carry out this survey I asked to weigh the individuals and to also measure their height so that I could calculate each of their BodyMassindex.
The way to work out your own BodyMassIndex is to
* Divide your weight in kilograms (kg) by your height in meters (m)
* Then divide your answer by your height again, your final answer is your BodyMassIndex
For this exercise I had 9 male volunteers and 11 female volunteers ranging from the age of 24 to 50
There are 5 different categories that the volunteers could go in
* Under Weight = is a term describing a human whose body weight is considered too low to be healthy. The definition usually refers to people with a BodyMassIndex(BMI) of under 18.5
* Healthy Weight = is a term describing a human whose body weight is considered to be healthy. The definition usually refers to people with a BodyMassIndex(BMI) of 18.5 to 25
* Over Weight = is a term describing a human whose body weight is considered to be over weight. The definition...

...Running Head: INEQUALITIESInequalities
Brittany Redding
MAT 221
INEQUALITIES
Am I considered overweight? Recent American health studies conducted by CDC (Centers for Disease Control) and other professional medical organizations conclude that while it continues to be absolutely imperative that society recognizes the importance of recognizing the impacts of some popular habits and conditions of our daily routines, such as smoking tobacco products, that easily and negatively affect the life expectancy of our population, we should pay even closer attention to the rate of obesity among humans. Professionals say that nearly two-thirds of all Americans are of excess weight. The affect of too much body fat or being overweight proves to have the same effect on the human life span as smoking can. It is important to know your weight and how it affects your health as you aim for a healthy, longer life. The study of determining the difference in life longevity and health of the average person when considering normal weight, overweight and obesity is reflected in BodyMassIndex (BMI). Normal proof of bodymassindex or BMI is formulated by dividing your weight in...

...All rights reserved 0307-0565/06 $30.00 www.nature.com/ijo
PEDIATRIC MINI REVIEW
Bodymassindex in children and adolescents: considerations for population-based applications
A Must1,2 and SE Anderson2
1 2
Department of Public Health and Family Medicine, Tufts University School of Medicine, Boston, MA, USA and The Friedman School of Nutrition Science and Policy, Tufts University, Boston, MA, USA
International Journal of Obesity (2006) 30, 590–594. doi:10.1038/sj.ijo.0803300 Keywords: review; bodymassindex; pediatrics; BMI z-score; overweight classification
After several years of experience with bodymassindex (BMI)for-age reference standards in the US, the UK, and elsewhere, reflection on ‘how things are going’ seems timely. In this issue, Reilly1 offers a summary of the evidence base for the diagnostic accuracy of BMI in youth and his perspective on what is achieved by a definition of overweight and obesity based on high BMI. To complement this, in our short review, we describe the BMI measure itself, the utility of a BMI z-score (s.d. score), their utility in cross-sectional and longitudinal applications in public health/surveillance, clinical and population-based research settings.
centiles,5 and the inaccuracy of assessing overweight by observation or ‘eye-balling’ has been established.6,7 Therefore, for screening or for...

...Bodymassindex or (BMI) is a key index that relates a person's body weight to their height. The bodymassindex is a person's weight in kilograms (kg) divided by their height in meters (m) squared. The National Institute of Health uses the bodymassindex to define normal weight, overweight and obesity. Overweight is considered is a person having a bodymassindex of 27.3% or more for women and 27.8 % or more for men. Obesity using the BMI index is defined as a BMI of 30 and above, which is about 30 pounds overweight. A person being very muscular is an exception to 30 percent being obese as there BMI can be much higher, but they would not be at risk because they are in good healthy shape. For those that don’t know muscle weighs more than fat.
It is beneficial to calculate your own bodymassindex (BMI), so you can see where you stand. To me it would be good to calculate your BMI on a monthly basis so that you can track your progress if you’re following a healthy eating and workout plan. On the other side would be those people seeing just how out of shape they are, if your BMI is 40 then you know you are 40 pounds overweight. To calculate my BMI I need my height which is 6 feet zero inches and my weight 182 pounds....

...Bodymassindex
A graph of bodymassindex is shown above.[clarification needed] The dashed lines represent subdivisions within a major class. For instance the "Underweight" classification is further divided into "severe", "moderate", and "mild" subclasses.
Based on World Health Organization data here.
The bodymassindex (BMI), or Quetelet index, is a heuristic proxy for human body fat based on an individual's weight and height. BMI does not actually measure the percentage of body fat. It was invented between 1830 and 1850 by the Belgian polymath Adolphe Quetelet during the course of developing "social physics".[1] Bodymassindex is defined as the individual's body weight divided by the square of his or her height. The formulae universally used in medicine produce a unit of measure of kg/m2. BMI can also be determined using a BMI chart,[2] which displays BMI as a function of weight (horizontal axis) and height (vertical axis) using contour lines for different values of BMI or colors for different BMI categories.
SI units | |
Imperial/US Customary units | |
| |
| |
Contents[hide] * 1 Usage * 2 BMI Prime * 3 Categories * 3.1 BMI-for-age * 3.2 International variations * 3.2.1 Japanese definition *...

...Name
Class
Date
[pic]
CompoundInequalities
3-6
Reteaching
A compoundinequality with the word or means one or both inequalities must be true. The graph of the compoundinequality a < –4 or a ≥ 3 is shown below.
[pic]
A compoundinequality with the word and means both inequalities must be true. The graph of the compoundinequality b ≤ 4 and b > –1 is shown below.
[pic]
To solve a compoundinequality, solve the simple inequalities from which it is made.
[pic]
Problem
What are the solutions of 17 ≤ 2x + 7 ≤ 29? Graph the solutions.
17 ≤ 2x + 7 ≤ 29 is the same as 17 ≤ 2x + 7 and 2x + 7 ≤ 29. You can solve it as two inequalities.
|17 ≤ 2x + 7 |and |2x + 7 ≤ 29 |
|17 – 7 ≤ 2x + 7 – 7 |and |2x + 7 – 7 ≤ 29 – 7 |
|10 ≤ 2x |and |2x ≤ 22 |
|[pic] |and |[pic] |
|5 ≤ x |and |x ≤ 11 |
To graph the compoundinequality, place closed circles at 5 and 11. Shade between the two circles.
[pic]
Prentice Hall...

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