Math133 Unit 3: Radicals and Rational Exponents

MATH133 Unit 3: Radicals and Rational Exponents

Discussion Board Assignment: Version 2A

Show all of your work details for these calculations. Please review this Web site to see how to type mathematics using the keyboard symbols. Body Mass Index

The United States is becoming more health-conscious, and as a result, the problem of obesity has gotten more attention. The body mass index (BMI) relates a person’s height and weight, and it is often used to determine if someone is overweight. The following table tells the weight status for a given BMI.

BMI Weight Status

Below 18.5 Underweight

18.5–24.9 Normal

24.9–29.9 Overweight

29.9 and above Obese

The BMI is calculated using the following formula:

703 ×

BMI =

ℎ2

where w is the weight in pounds and h is the height in inches.

Solving this formula for h, we see that h = sqrt[703w / BMI] or ℎ = 703BMI

Using the Internet, AIU’s library, or another research source, find the weight of your favorite celebrity. This could be a movie or television personality, athlete, or a politician. You may also use yourself.

I am using my own weight 200 lbs

Using the weight you found in Question 1, determine the height the celebrity (or yourself) would need to be to fall into each of the four weight status categories listed in the table. In other words, select a BMI less than 18.5 (any value), and find h. Then, repeat using a

new BMI in each range. Show all of your work for each of these calculations.

Chosen BMI Value Calculated Height (in.)

Underweight 18.49 81.89 inches

Normal 24.9 70.57 inches

Overweight 29.9 64.40 inches

Obese 35 64.29 inches

h = √703w/BMI

hu = √(703(200.00))/18.49 = √123988.11/18.49 =√6705.6846 = 81.89” for underweight

hn= √(703(200.00))/24.9 = √123988.11/24.9 = √5646.59 = 70.57” for normal

hov = √(703(200.00))/29.9 = √123988.11/29.9 =√4702.3411= 64.395” for overweight

hob = √(703(200.00))/35 = √123988.11/35 = √4017.1428 = 59.52” for obese

Using...