College

Match the BMI to the corresponding heights and weights. Also, place the specific characteristics (normal weight, overweight, etc.) into the correct BMI category.

| BMI | Height and Weight | Characteristics |
|---------|---------------------------------------|-------------------------|
| BMI = 32| 77 inches, 204.5 lbs | Overweight |
| BMI = 26| 72 inches, 191 lbs | |
| BMI = 20| 68 inches, 169 lbs; 67 inches, 171 lbs| |
| BMI = 16| 65 inches, 120 lbs; 60 inches, 118 lbs| Underweight |

Answer :

Here are the final matches of BMI to the corresponding heights, weights, and categories:

- BMI = 32 matches with Height: 77 inches, Weight: 204.5 lbs (Overweight)

- BMI = 26 matches with Height: 68 inches, Weight: 171 lbs (Overweight)

- BMI = 20 matches with Height: 72 inches, Weight: 169 lbs (Normal weight)

- BMI = 16 matches with Height: 67 inches, Weight: 120 lbs (Underweight)

  • To match the BMIs with the corresponding heights and weights and categorize them accurately, we can use the formula for BMI, which is calculated as follows:
  • BMI = (Weight in kilograms) / (Height in meters)^2
  • Let's calculate the BMIs for each combination:
  • Height: 77 inches (6 feet 5 inches), Weight: 169 lbs
  • BMI = (169 lbs) / [(77 inches / 39.37) * (77 inches / 39.37)] = 22.85
  • BMI Category: Normal weight
  • Height: 68 inches (5 feet 8 inches), Weight: 169 lbs
  • BMI = (169 lbs) / [(68 inches / 39.37) * (68 inches / 39.37)] = 25.63
  • BMI Category: Overweight
  • Height: 72 inches (6 feet), Weight: 191 lbs
  • BMI = (191 lbs) / [(72 inches / 39.37) * (72 inches / 39.37)] = 25.87
  • BMI Category: Overweight
  • Height: 65 inches (5 feet 5 inches), Weight: 118 lbs
  • BMI = (118 lbs) / [(65 inches / 39.37) * (65 inches / 39.37)] = 19.62
  • BMI Category: Normal weight
  • Now, let's match the BMIs with the corresponding heights and weights:
  • BMI = 32 matches with Height: 77 inches (6 feet 5 inches), Weight: 204.5 lbs
  • BMI Category: Overweight
  • BMI = 26 matches with Height: 68 inches (5 feet 8 inches), Weight: 171 lbs
  • BMI Category: Overweight
  • BMI = 20 matches with Height: 72 inches (6 feet), Weight: 169 lbs
  • BMI Category: Normal weight
  • BMI = 16 matches with Height: 67 inches (5 feet 7 inches), Weight: 120 lbs
  • BMI Category: Underweight
  • So, the BMIs are correctly matched with the respective heights, weights, and categories.

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Answer:The category in your question is scattered, here is how they should appear.

77 inches, `169lbs; 68inches, 171lbs ; 60 inches, 82lbs;

72 inches, 191lbs; 72 inches 118lbs; 65 inches, 120lbs; 67 inches 204.5 lbs; 60 inches 164 lbs. Please see answer in the explanation column.

Explanation:

According to BMI formula in the English (Avoirdupois) system for weight in pounds, and height in inches, we have that

BMI = 703 x (weight/(height)2) and the scale is given as

9.0 to 18.5 underweight

18.6 to 24.9 normal

25.0 29.9 overweight

30.0 and Above Obese, Using this information, we can then solve as

1)For 77 inches and 169lbs

BMI= 703 X (169 / (77)^2= 20.03 --- Normal

2)68inches, 171lbs

BMI= 703 X (171/ 68)^2= 25.99= 26--Overweight

3)60 inches, 82lbs

BMI= 703 X (82/60^2)= 16.01---- Underweight

4)72 inches, 191lbs

BMI= 703 X(191/ 72^2) = 25.9=26-----Overweight

5)72 inches 118lbs

BMI= 703 X(118/72^2)=16---Underweight

6)65 inches, 120lbs

BMI= 703 X(120/65^2)=19.9=20---normal

7)67 inches 204.5 lbs

BMI= 703 X(204.5/67^2)= 32---- obese

8).60 inches 164 lbs

BMI= 703 X(164/ 60^2)= 32.02=32---Obese

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