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2 pages/≈550 words

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APA

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Mathematics & Economics

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Coursework

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English (U.S.)

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# Inequalities (Coursework Sample)

Instructions:

Use the formula given using pounds and inches BMI = 703W/H^2 for finding the BMI at the end of the first paragraph in order to find the four intervals the article mentions:
17 < BMI < 22 might have a longer life span than average
23 < BMI < 25 probably not overweight
25 < BMI < 29.9 probably overweight
BMI > 30 obese
You will use your height (148lb.) to plug into the formula to solve for W, the weight range that will go with each category. You may prefer to solve the formula for the variable W before plugging in values, which is fine.
Write a two page paper that is formatted in APA style and according to the Math Writing Guide. Format your math work as shown in the Instructor Guidance and be concise in your reasoning. In the body of your essay, please make sure to include:
Your solution to the above problem, making sure to include all mathematical work
A discussion on the computed weight ranges and some reasons why they could be misleading
An evaluation of the regions outside of the “probably not overweight” range using both set notation and interval notation. Include a simple graph of the regions. (See Instructor Guidance example for some ideas of how to do this.)
The incorporation of the following five math vocabulary words into your discussion. Use bold font to emphasize the words in your writing (Do not write definitions for the words; but integrate them into your discussion.):
Inequality
Equivalent
Compound inequality
Interval
Infinity
source..

Content:

Use the formula given using pounds and inches BMI = 703W/H^2 for finding the BMI at the end of the first paragraph in order to find the four intervals the article mentions:17 < BMI < 22 might have a longer life span than average22 < BMI < 25 probably not overweight25 < BMI < 30 probably overweightBMI > 30 obese
*My height = 5ft 5 in. or 65 in.
The formula is given as BMI=703W/H2
To solve for the weight range that will go with each interval by using my height, the formula will now have a value for H2. BMI=703W/65in2
To make things easier, we will simplify the formula by solving it in terms of W.
BMI = 703W/652
BMI(652) = 703W
BMI(4225) = 703W
W = BMI(4225)
703
W is now equivalent to 6.009957325 (BMI) or simplified to W= 6.01(BMI)
To solve for the weight range in each interval, we will now substitute the value for BMI.
*17 < BMI < 22
W = (6.01)(17) We input 17 as the value of BMI as it is the lower boundary of the interval.
W = 102.17
W = (6.01)( 22) We input 22 as the value of BMI as it is the higher boundary of the interval.
W = 132.22
Now we have the weight range that falls on the first category.
We will interpret it a...

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