Weight =68.1kg, Height =162.6cm: BMI=

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Weight =68.1kg, Height =162.6cm: BMI=

Weight =124 lbs, Height =63 inches: BMI=

Weight =76.4kg, Height =182.9cm: BMI=

Weight =216lbs, Height =177.8cm: BMI=

Weight =108lbs, Height =162.6cm: BMI=

Please help and show work. Thanks!

The Correct Answer and Explanation is:

To calculate Body Mass Index (BMI), use the formula:

  • For metric units (kg and cm): BMI=Weight (kg)(Height (m))2\text{BMI} = \frac{\text{Weight (kg)}}{(\text{Height (m)})^2}
  • For imperial units (lbs and inches): BMI=Weight (lb)×703(Height (in))2\text{BMI} = \frac{\text{Weight (lb)} \times 703}{(\text{Height (in)})^2}

✅ BMI Calculations:

1. Weight = 68.1 kg, Height = 162.6 cm

  • Convert height to meters: 162.6 cm = 1.626 m
  • BMI=68.1(1.626)2=68.12.644≈25.8\text{BMI} = \frac{68.1}{(1.626)^2} = \frac{68.1}{2.644} \approx \boxed{25.8}

2. Weight = 124 lbs, Height = 63 inches

  • BMI=124×703632=871723969≈22.0\text{BMI} = \frac{124 \times 703}{63^2} = \frac{87172}{3969} \approx \boxed{22.0}

3. Weight = 76.4 kg, Height = 182.9 cm

  • Convert height to meters: 182.9 cm = 1.829 m
  • BMI=76.4(1.829)2=76.43.345≈22.8\text{BMI} = \frac{76.4}{(1.829)^2} = \frac{76.4}{3.345} \approx \boxed{22.8}

4. Weight = 216 lbs, Height = 177.8 cm (convert to inches = 70 in)

  • BMI=216×703702=1518484900≈31.0\text{BMI} = \frac{216 \times 703}{70^2} = \frac{151848}{4900} \approx \boxed{31.0}

5. Weight = 108 lbs, Height = 162.6 cm (convert to inches = 64 in)

  • BMI=108×703642=759244096≈18.5\text{BMI} = \frac{108 \times 703}{64^2} = \frac{75924}{4096} \approx \boxed{18.5}

🧠 Explanation (300+ words):

Body Mass Index (BMI) is a screening tool used to categorize an individual’s body weight in relation to their height. It is a simple calculation that can help assess whether a person is underweight, normal weight, overweight, or obese.

The formula uses either the metric system (kilograms and meters) or the imperial system (pounds and inches). For metric: divide weight in kilograms by the square of height in meters. For imperial: multiply the weight in pounds by 703 and divide by the square of the height in inches.

Each result is a number that falls into a classification:

  • Underweight: BMI less than 18.5
  • Normal weight: 18.5 – 24.9
  • Overweight: 25 – 29.9
  • Obese: 30 or greater

Let’s analyze the examples:

  • The first person has a BMI of 25.8, placing them slightly into the overweight category.
  • The second person’s BMI is 22.0, which is considered normal.
  • The third person, with a BMI of 22.8, also falls within the normal range.
  • The fourth individual has a BMI of 31.0, which indicates obesity.
  • The last individual’s BMI is 18.5, right on the edge between underweight and normal.

BMI is a useful population-level tool, but it has limitations. It does not account for muscle mass, bone density, overall body composition, or distribution of fat. For example, a highly muscular person might have a high BMI but low body fat. Still, it remains a quick and cost-effective screening method to assess weight status and associated health risks

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