Posted: August 4th, 2022

Math133

math133_u3ip2

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 is often used to determine if someone is overweight. The table below 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 formula:

  • BMI = 703*w / 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]

1. Find the weight of your favorite celebrity. This could be a movie or television personality, athlete, politician or even yourself.

2. Using the weight from part 1, determine the height the celebrity would need to be in order 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, you make it up) and find “h”; then repeat using a new BMI in the range from 18.5 to 24.9, and so on.

3. Using the Internet or other library resource, find the actual height of the celebrity.

4. Determine his or her actual weight status (underweight, normal, overweight or obese) using the original BMI formula at the top of the instructions.

5. How tall would he or she need to be for the normal weight status?

6. Would you consider him or her to actually be in the weight status this formula says based on his or her actual height and weight and considering his or her other physical characteristics? Why or why not? Think about why there may be differences in your calculations and the actual figures.

7. The BMI formula was created by a Belgian Statistician (not a physician), Lambert Adolphe Quetelet, in the early 1830s. Do you think BMI is a fair indication of a person’s weight classification? Why or why not?

8. Summarize your findings in writing using proper style and grammar.

Include references formatted according to APA style if you are using any information that is not common knowledge.

Respond to a classmate’s posting. If you think there may be an error, feel free to help your classmate without providing the correct answer. Otherwise, analyze the post in comparison to yours or add new information to the discussion.

In your own words, please post a response to the Discussion Board and comment on other postings. You will be graded on the quality of your postings.

MATH133 Unit 3 – Individual Project 2

1) Solve algebraically. Trial and error is not an appropriate method of solution. You
must show all your work.

Learn how to type math roots and fractions by clicking on the link in the assignment
list. Alternately, you may type 3 x as cuberoot(x) and show raising to the nth power
as ^n, like x 3 is typed x^3 or x3/2 is typed x^(3/2).

a) 353 =−x
Answer:

Show your work here:

b) 272
3

=x

Answer:

Show your work here:

c)
1
23

1
4
3

+

−=

x
x

Answer:

Show your work here:

d) Solve algebraically and check your potential solutions: 02 =−+ xx

Answer:

Show your work here:

Unit 3 IP Version A 2 | P a g e

2) For the following function, C computes a value, where if you add millions
of dollars to the value, the result is the cost of implementing a city recycling
project when x , as a percent (not its decimal equivalent), citizens participate.

x
x

xC

=
100

5.1
)(

a) Using this model, determine the cost if 60% of the citizens participate?

Answer:

Show your work here:

b) Using this model, find the percentage of participation that can be expected
if $5 million is spent on this recycling project? Set up an equation and solve
algebraically. Round to the nearest whole percent.

Answer:

Show your work here:

3) a) If 2+= xy , fill in the following table for x = 0, 1, 2, 3, 4. Round to

three decimal places where necessary.

x y
0
1
2
3
4

Show your work here:

b) Explain why no negative values are chosen as values to substitute in for x.

Answer:

Unit 3 IP Version A 3 | P a g e

c) Graph in MS Excel and paste your graph here. For help on creating your
graph in Excel and inserting graphs into a Word Doc please see the tutorial in the
Assignment List.

Answer:

4) A water tank is h feet high. Water is flowing from this water tank with a
velocity V feet per second. The model representing the relationship between the
velocity and height is given by

hV 8=

a) Find the height of a water tank that provides a water flow of 80 feet per
second.

Answer:

Show your work here:

b) Find the velocity of the water flow when the height is 150 feet. Round

your answer to two decimal places.

Answer:

Show your work here:

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