# Body Mass Index Essay

531 WordsApr 14, 20153 Pages
Body Mass Index Jacob Shearer MAT221 Introduction to Algebra Instructor Pamela Clarke November 17, 2013 I am going to solve the following 4 formulas involving Body Mass Index starting with the first one. 17&lt;703WH^2&lt;22 This is the equivalent inequality where I substituted BMI with the formula. Then I replace the H^2 with my height in inches. 17&lt;703W73^2&lt;22 After factoring in my height to the second power I get 17&lt;703W5329&lt;22 Now I multiply all 3 terms by the denominator 17(5329) &lt; 703W(5329)5329 &lt;22(5329) and then get 90593 &lt; W &lt; 117238. Then finally I divide all 3 by 703 in order to isolate W. 128.8 &lt; W &lt; 166.7 So people with the height of 73 inches could have a longer than average life span if they weigh between 129 and 167 pounds. The next equation 23&lt;703WH^2&lt;25 I first multiply all 3 terms by H^2 in order to take our the denominator. 23H^2 &lt; 703W &lt; 25H^2 Then I divide all terms by 703 to isolate the W. 23H^2703&lt;W&lt; 25H^2703 After doing this it now becomes an equivalent inequality for me to solve the second weight. I now use my height squared to find the second weight interval. 23(5329)703&lt;W&lt; 25(5329)703 After I multiply I end up with 122567703&lt;W&lt; 133225703 Then I simply divide and end up with 174 &lt; W &lt; 189.5. So people who are 73 inches tall that way between 174 and 189.5 are probably not overweight. Now for the third equation I will use 25 and 30 in place of 23 and 25 in the above equation. 25(5329)703&lt;W&lt; 30(5329)703 Then I will multiply the parentheses. 133225703&lt;W&lt; 159870703 Then I must do the division. 189.5 &lt; W &lt; 227. So people that are 73 inches tall and also weigh between 189.5 and 192 are overweight. The last and final equation is. 703W73^2&lt;30 Now I first do my power of inches which is. 703W5329&lt;30 Now for the division which then turns into multiplication