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Week 2 Assignment

In: Other Topics

Submitted By CourtneyBailey2
Words 947
Pages 4
MAT 221

Ashford University

Instructor: Professor

January 27, 2011

In this paper I will be figuring out the intervals of people with my height for their BMI. I will be using my height and weight for the following intervals:
17<BMI<=22
23<BMI<=25
25<BMI<=30
BMI>30 First I will solve the following interval: 17<BMI<22. This is called an equivalent inequality. In order to plug in the proper information I will be using the following formula: 703W/H^2.
17<703W/H^2<22
17<703W/65^2<22 H^2 has been replaced with my height in inches.
17<703W/4225<22 My next step is to multiply all three terms by the denominator.
17(4225)<703(4225)W/4225<22(4225)
71825<703W<92950 Multiplication done
71825/703<703W/703<92950/703 Now I am going to divide by 703 in order to isolate w.
102.1<w<132.2 Division completed. According to the formula people with the height 65 inches and weight between 102.1 and 132.2 are more than likely not overweight. In the next interval, I am going to figure the weight for people who are not overweight and are 65 inches tall.
23<703W/4225<25
23(4225)<703(4225)W/4225<25(4225) My next step will be multiplying all three terms by the denominator.
97175<703W<105625 Multiplication complete
97175/703<703W/703<105625/703 Now I am going to divide all three terms by 703 in order to isolate w.
138.22<w<150.24 Division completed.
People with the height of 65 inches that weigh between 138.22 and 150.24 are more likely not overweight. For the next two intervals I am going to use the same method. In this third interval it indicates weight ranges for being overweight for this particular height. I am going to plug 25.1 and 29.9 into the about compound inequality in place of 23 and 25.
25.1<703w/4225<29.9 Now I am going to multiply all three terms by the denominator.
25.1(4225)<703(4225)w/4225<29.9(4225)
106047.5<703w<126327.5 Multiplication completed
106047.5/703<703w/703<126327.5/703 Now I am going to divide all three terms by 703 to isolate w.
150.84<w<179.69 Division completed
So, according to this interval, people with the height of 65 inches are probably overweight if their weight is between 150.84 and 179.69. In this fourth interval it indicates the weight for people who are obese for this particular height of 65 inches. This interval is not going to be a compound inequality, therefore I am only going to use the term of a basic inequality with the opposite pointing arrow and substitute 30 in the 29.9 place.
W equal to or less than 30(4225)/703
W equal to or less than 126750/703 multiplication completed
W equal to or less than 126750/703 now I am going to divide by 703
W equal to or less than 180.29 division complete
People who are 65 inches in height and weigh 180.29 are more like to be considered obese. People who are obese and above this weight should consider to live a much healthier life-style.
For my interval, I have chosen to use my first interval, so I have written the following: People with the height of 65 inches are probably not overweight if their weight is between 151 lbs and 180 lbs. In this notation the set would look like this x= the set of those who are not considered overweight. X=w>151 and w<180. So, x=(151,180).
When graphed on a number line it looks like this:
<_______________151______________________________________180________________>

In conclusion, I have solved compound inequalities for the height of 65 inches. While solving these inequalities I found that people with the height of 65 inches and weigh between 151 lbs and 180 lbs are more than likely not overweight and for people that weigh 180.22 pounds or more are more than likely obese and should consider a healthier life-style.

In this discussion I have been assigned to find the proper dose of Ibuprofen for a child using Crowling’s rule that gives us a formula or literal equation. d=D(a+1)/24 The original formula d=400(a+1)/24 d=400(3)/24 d=1200/24 d=50
Now I will substitute the variables into the formula which gives me a conditional equation. Next step is to divide 1200/24 to get the child dose. After solving the equation I find that the child’s dose is 50mg.
Part B.
In the second part of this problem I will again be using Crowling’s rule, but instead I am only given the adult and child dose left to solve for the child’s age. First I will begin by substituting the variables with the doses.
50=400(a+1)/24
Now I will use distribution by multiplying 24 by its opposite to simplify to solve.
(24)50=400a+400(24)
1200=400a
Then I will subtract 400 from each side.
800/400=400a/400
A=2
Then I will divide 400 on each side to give me an answer of 2. So after solving I figure the child’s age to be 2 years.

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