Wk 2, Assignment
Week Two Assignment: Inequalities
MAT 221
April 8, 2013
Week Two Assignment: Inequalities “Medical professionals say that two-thirds of all Americans are overweight and excess weight has about the same effect on life expectancy as smoking” (Dugopolsk, 2012, p.151). But how can one tell if their overweight or not? The Body Mass Index (BMI) can help you answer this question. The BMI provides a reliable indicator of body fatness for most people and is used to screen for weight categories that may lead to health problems. The following formula is used to find one’s BMI: BMI = 703W H2 W = one’s weight in pounds, and H = one’s height in inches. For this assignment we have been asked to calculate four intervals based on our own height. My height is 65 inches. This assignment consists of three compound inequalities, and one regular inequality.
The first interval we come to shows us who might have a longer than average life span. The compound inequality for this is: 17 < BMI < 22 17 < 703W < 12 I used an equivalent inequality to replace BMI with a formula. H2 17 < 703W < 22 652 I replaced the H2 with my height in inches. 17 < 703W < 22 4225 I multiplied the denominator, which brings me to the next step. My next step is to multiply all three terms by the denominator. 17(4225) < 703W(4225) < 22(4225) The canceling is done. 4225 71825 < 703W < 92950 I have carried out the multiplication. 71825 < 703W < 92950 I will now isolate the W by dividing all three terms by 703. 703 703 703 102 < W < 132.2 This shows that people who are 65 inches in height and weight between 102 lbs and 132.2 lbs might have a longer than average life span.
In my second inequality formula for W, I will be
MAT 221
April 8, 2013
Week Two Assignment: Inequalities “Medical professionals say that two-thirds of all Americans are overweight and excess weight has about the same effect on life expectancy as smoking” (Dugopolsk, 2012, p.151). But how can one tell if their overweight or not? The Body Mass Index (BMI) can help you answer this question. The BMI provides a reliable indicator of body fatness for most people and is used to screen for weight categories that may lead to health problems. The following formula is used to find one’s BMI: BMI = 703W H2 W = one’s weight in pounds, and H = one’s height in inches. For this assignment we have been asked to calculate four intervals based on our own height. My height is 65 inches. This assignment consists of three compound inequalities, and one regular inequality.
The first interval we come to shows us who might have a longer than average life span. The compound inequality for this is: 17 < BMI < 22 17 < 703W < 12 I used an equivalent inequality to replace BMI with a formula. H2 17 < 703W < 22 652 I replaced the H2 with my height in inches. 17 < 703W < 22 4225 I multiplied the denominator, which brings me to the next step. My next step is to multiply all three terms by the denominator. 17(4225) < 703W(4225) < 22(4225) The canceling is done. 4225 71825 < 703W < 92950 I have carried out the multiplication. 71825 < 703W < 92950 I will now isolate the W by dividing all three terms by 703. 703 703 703 102 < W < 132.2 This shows that people who are 65 inches in height and weight between 102 lbs and 132.2 lbs might have a longer than average life span.
In my second inequality formula for W, I will be
References: Dugopolsk, M. (2012). Elementary and intermediate algebra (4th ed.). New York, NY: McGraw-Hill Publishing.