×

### Let's log you in.

or

Don't have a StudySoup account? Create one here!

×

or

## MAT221-Assignment_Wk2

by: Experthelper Notetaker

23

0

6

# MAT221-Assignment_Wk2

Marketplace > MAT221 Assignment_Wk2
Experthelper Notetaker
LU
GPA 3.0

Get a free preview of these Notes, just enter your email below.

×
Unlock Preview

MAT221-Assignment_Wk2
COURSE
PROF.
No professor available
TYPE
Study Guide
PAGES
6
WORDS
KARMA
50 ?

## Popular in Department

This 6 page Study Guide was uploaded by Experthelper Notetaker on Monday November 9, 2015. The Study Guide belongs to a course at a university taught by a professor in Fall. Since its upload, it has received 23 views.

×

## Reviews for MAT221-Assignment_Wk2

×

×

### What is Karma?

#### You can buy or earn more Karma at anytime and redeem it for class notes, study guides, flashcards, and more!

Date Created: 11/09/15
Running Head: INEQUALITIES 1 Inequalities  name MAT 221: Introduction to Algebra Linda Seeger Date INEQUALITIES 2 Inequalities Knowing your Body Mass Index or BMI is an important part of leading a healthier life  style. BMI is one of the ways to determine if an adult is overweight by using an equation that  assess one’s height and weight to find out their total BMI. There are several ranges that a  person’s BMI can fall under, the ranges are: BMI of 17 to 25 then the person is probably not  overweight and is considered to be within a healthy weight, a person with a BMI of 26­29.9 is  considered to be overweight, and having a BMI over 30 is considered obese. Having a BMI of 40 or above indicates that a person is morbidly obese which can increase a person's risk of death  from any cause by 50% to 150%. Because muscle mass is not a factor in calculating one’s BMI  can be misleading by showing that someone who is muscular as being overweight. By using the  formula for body mass index coupled with my height I will show at what intervals a person my  height might fall into the healthy and unhealthy BMI intervals. The formula for Body Mass Index is:  BMI = 703W                H   The W represents a person’s weight in pounds, and the H is a person’s height in inches. I will be  calculating the four intervals using my height of 65 inches to solve the inequalities for W and  specify the weight range that fits each category for my height. There are four different intervals,  three of which are compound inequalities and one that is a regular inequality.  The compound inequality for the first interval is: INEQUALITIES 3  17 < BMI < 22  17 < 703W < 22             I substituted 703W for BMI making an equivalent            H inequality.               17 < 703W 2 22             65   Next I replaced H2 with my height in inches.  Inequalities 17 < 703W < 22           4225   17(4225) <  703W(   422 ) < 22(4225) I multiplied all of the terms by the denominator and                        4522  proceed with cancelling.  71825 <  703  W < 92959  Next I completed the multiplications and divided each    703        703         703  term by 703 to isolate W.    102.2 < W< 132.2 A person that is 65 inches in height  might have a longer  life span if they weigh between 102.2 lbs and 132.2 lbs. To solve the second inequality formula for W I began by starting with the formula for BMI and  substituting H with my height in inches. 23 < 703W < 25             65   23(4225) < 703W(4225) < 25(4225) I multiplied the denominator to get 4225 then I multiplied  4522  all of the terms by the denominator and proceed with  cancelling.  97175 < 703W < 105625  Next I completed the multiplications and divided each    703        703         703  term by 703.  137.6 < W< 149.6 A person that is 65 inches in height  that falls in the BMI  level of 23< – 25< may not be overweight if their weight  falls between 137.6 lbs and 149.6 lbs. INEQUALITIES 4 In the third inequality formula I will solve for W before plugging in the values. 25 < 703W < 30            H   2 2 25(H ) < 703W < 30(H ) I started by removing the denominator by multiplying all of                   H                    the terms by H .                                                                                       Inequalities 25(4225) < 703W <30(4225)  Next I input my height squared and divided the terms by          703          703         703          703 to isolate W. 105625 < W < 126750    703                   703 150.2 < W < 180.3 A person who is 65 inches and weighs between 150.2 and  180.3 is probably over weight.  The final weight interval represents the weight range for people who are obese at the height of  65 inches. Because it is not a compound inequality I only use the middle and right terms of the  basic inequality with the opposite pointing arrow.  W ≥ 30(4225)  I start by substituting H  for my height (65 inches) squared.           703  W ≥ 126750 Next I carried out the multiplication and division.            703  W ≥ 180.3  If a person is 65 inches and 180 lbs or more they are  considered to be overweight which can significantly  decrease their life expectancy.   This interval could extend to positive infinity but it is a fact that a person’s weight can  eventually change. By solving each problem I know that a person who is 65 inches and weighs  INEQUALITIES 5 between 138 lbs and 150 lbs is probably not over weight. If I put this information into a set  notation it would be written as: Let X = those who are probably not overweight and are 65 inches Then X = w represents the weight of the individual {w | w > 138 and w < 150}. In interval notation this would be written as: X = (138, 150)  Inequalities These numbers on a line graph would look like this:  <­­­­­­­­­­­­­(­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­)­­­­­­­­­­­­­­­­­­­­>                   138                                       150 While calculating BMI it is not always accurate in showing who falls in the healthy and  unhealthy BMI range, it is used by many health professionals. Finding out your BMI is  beneficial to you in the long run because it causes you to be more conscious with your decisions  regarding weight management and health. Using the provided formula to calculate BMI I was  able to conclude that a person who is 65inches will have a longer life span and are considered to  fall within a healthy weight range if they are between 102 lbs and 132 lbs.  People who have  lower BMI’s also have an increased life span. INEQUALITIES 6 References: Dugopolski, M. (2012). Elementary and intermediate algebra (4th ed.). New York, NY:  McGraw­Hill Publishing. Kam, K. (n.d.). Why your BMI doesn’t tell the whole story. Retrieved from http://www.webmd.com/diet/features/bmi­drawbacks­and­other­measurements

×

×

### BOOM! Enjoy Your Free Notes!

×

Looks like you've already subscribed to StudySoup, you won't need to purchase another subscription to get this material. To access this material simply click 'View Full Document'

## Why people love StudySoup

Bentley McCaw University of Florida

#### "I was shooting for a perfect 4.0 GPA this semester. Having StudySoup as a study aid was critical to helping me achieve my goal...and I nailed it!"

Anthony Lee UC Santa Barbara

#### "I bought an awesome study guide, which helped me get an A in my Math 34B class this quarter!"

Steve Martinelli UC Los Angeles

#### "There's no way I would have passed my Organic Chemistry class this semester without the notes and study guides I got from StudySoup."

Parker Thompson 500 Startups

#### "It's a great way for students to improve their educational experience and it seemed like a product that everybody wants, so all the people participating are winning."

Become an Elite Notetaker and start selling your notes online!
×

### Refund Policy

#### STUDYSOUP CANCELLATION POLICY

All subscriptions to StudySoup are paid in full at the time of subscribing. To change your credit card information or to cancel your subscription, go to "Edit Settings". All credit card information will be available there. If you should decide to cancel your subscription, it will continue to be valid until the next payment period, as all payments for the current period were made in advance. For special circumstances, please email support@studysoup.com

#### STUDYSOUP REFUND POLICY

StudySoup has more than 1 million course-specific study resources to help students study smarter. If you’re having trouble finding what you’re looking for, our customer support team can help you find what you need! Feel free to contact them here: support@studysoup.com

Recurring Subscriptions: If you have canceled your recurring subscription on the day of renewal and have not downloaded any documents, you may request a refund by submitting an email to support@studysoup.com