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A group of athletes have the following heights and masses: Athlete A (168cm, 62kg), Athlete B (175cm, 78kg), Athlete C (182cm, 95kg), Athlete D (160cm, 52kg). Calculate their Body Mass Index (BMI) and

Mathematics

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Question 1.1.1

  1. Convert each height from centimeters to meters by dividing by 100.

    1 m=100 cm1 \text{ m} = 100 \text{ cm}
    • Athlete A: 168 cm÷100=1.68 m168 \text{ cm} \div 100 = 1.68 \text{ m}
    • Athlete B: 175 cm÷100=1.75 m175 \text{ cm} \div 100 = 1.75 \text{ m}
    • Athlete C: 182 cm÷100=1.82 m182 \text{ cm} \div 100 = 1.82 \text{ m}
    • Athlete D: 160 cm÷100=1.60 m160 \text{ cm} \div 100 = 1.60 \text{ m}

    The heights in meters are:

    • Athlete A: 1.68 m\boxed{\text{1.68 m}}
    • Athlete B: 1.75 m\boxed{\text{1.75 m}}
    • Athlete C: 1.82 m\boxed{\text{1.82 m}}
    • Athlete D: 1.60 m\boxed{\text{1.60 m}}

    Question 1.1.2

  2. Use the formula BMI=mass (kg)(height (m))2\text{BMI} = \frac{\text{mass (kg)}}{(\text{height (m)})^2} for each athlete.

    • Athlete A: BMIA=62 kg(1.68 m)2=622.8224≈21.967\text{BMI}_A = \frac{62 \text{ kg}}{(1.68 \text{ m})^2} = \frac{62}{2.8224} \approx 21.967
    • Athlete B: BMIB=78 kg(1.75 m)2=783.0625≈25.470\text{BMI}_B = \frac{78 \text{ kg}}{(1.75 \text{ m})^2} = \frac{78}{3.0625} \approx 25.470
    • Athlete C: BMIC=95 kg(1.82 m)2=953.3124≈28.680\text{BMI}_C = \frac{95 \text{ kg}}{(1.82 \text{ m})^2} = \frac{95}{3.3124} \approx 28.680
    • Athlete D: BMID=52 kg(1.60 m)2=522.56≈20.313\text{BMI}_D = \frac{52 \text{ kg}}{(1.60 \text{ m})^2} = \frac{52}{2.56} \approx 20.313

    The calculated BMIs are:

    • Athlete A: 22.0\boxed{\text{22.0}} (rounded to one decimal place)
    • Athlete B: 25.5\boxed{\text{25.5}} (rounded to one decimal place)
    • Athlete C: 28.7\boxed{\text{28.7}} (rounded to one decimal place)
    • Athlete D: 20.3\boxed{\text{20.3}} (rounded to one decimal place)

    Question 1.1.3

  3. Classify Athlete C's BMI using the provided chart.

    Athlete C's BMI is approximately 28.7.
    The BMI categories are:

    • Underweight: <18.5
    • Normal: 18.5–24.9
    • Overweight: 25.0–29.9
    • Obese: ≥30.0
  4. Compare Athlete C's BMI to the categories.

    Since 25.0≤28.7≤29.925.0 \le 28.7 \le 29.9, Athlete C falls into the Overweight category.

    Athlete C is classified as Overweight\boxed{\text{Overweight}}.

    Question 1.1.4

  5. Identify athletes whose BMI falls outside the "Normal" range (18.5–24.9).

    • Athlete A: BMI ≈22.0\approx 22.0 (Normal)
    • Athlete B: BMI ≈25.5\approx 25.5 (Overweight)
    • Athlete C: BMI ≈28.7\approx 28.7 (Overweight)
    • Athlete D: BMI ≈20.3\approx 20.3 (Normal)
  6. Select two athletes who are not in the normal range.

    Athletes B and C are both classified as Overweight, meaning their BMI is outside the normal range.

    The two athletes who may require further health advice are Athlete B and Athlete C\boxed{\text{Athlete B and Athlete C}}.

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