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Calculate and classify the BMI for athletes A, B, C, and D using the provided height, mass, and BMI categories.

Mathematics

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To answer 1.1.4, we first need to complete the calculations from 1.1.1, 1.1.2, and 1.1.3.

1.1.1 Convert the height of each athlete to metres.

  1. Convert heights from centimeters to meters by dividing by 100.

    • Athlete A: 168 cm=168100 m=1.68 m168 \text{ cm} = \frac{168}{100} \text{ m} = 1.68 \text{ m}
    • Athlete B: 175 cm=175100 m=1.75 m175 \text{ cm} = \frac{175}{100} \text{ m} = 1.75 \text{ m}
    • Athlete C: 182 cm=182100 m=1.82 m182 \text{ cm} = \frac{182}{100} \text{ m} = 1.82 \text{ m}
    • Athlete D: 160 cm=160100 m=1.60 m160 \text{ cm} = \frac{160}{100} \text{ m} = 1.60 \text{ m}

    1.1.2 Calculate the BMI of each athlete using the formula BMI=mass (kg)(height (m))2\text{BMI} = \frac{\text{mass (kg)}}{(\text{height (m)})^2}.

  2. Calculate BMI for each athlete.

    • Athlete A:
    BMIA=62 kg(1.68 m)2=622.8224≈21.97\text{BMI}_A = \frac{62 \text{ kg}}{(1.68 \text{ m})^2} = \frac{62}{2.8224} \approx 21.97
    • Athlete B:
    BMIB=78 kg(1.75 m)2=783.0625≈25.47\text{BMI}_B = \frac{78 \text{ kg}}{(1.75 \text{ m})^2} = \frac{78}{3.0625} \approx 25.47
    • Athlete C:
    BMIC=95 kg(1.82 m)2=953.3124≈28.68\text{BMI}_C = \frac{95 \text{ kg}}{(1.82 \text{ m})^2} = \frac{95}{3.3124} \approx 28.68
    • Athlete D:
    BMID=52 kg(1.60 m)2=522.56≈20.31\text{BMI}_D = \frac{52 \text{ kg}}{(1.60 \text{ m})^2} = \frac{52}{2.56} \approx 20.31

    1.1.3 Refer to the BMI categories chart provided below to classify the BMI of Athlete C according to the given categories.
    BMI Categories for Adults:
    Underweight (<18.5)
    Normal (18.5–24.9)
    Overweight (25.0–29.9)
    Obese (≥30.0)

  3. Classify Athlete C's BMI.

    Athlete C's BMI is approximately 28.68. This falls into the Overweight category.

    1.1.4 Identify TWO athletes who may require further health advice. Provide ONE reason for the selected athletes.

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

    • Athlete A: BMI ≈21.97\approx 21.97 (Normal)
    • Athlete B: BMI ≈25.47\approx 25.47 (Overweight)
    • Athlete C: BMI ≈28.68\approx 28.68 (Overweight)
    • Athlete D: BMI ≈20.31\approx 20.31 (Normal)

    The two athletes who may require further health advice are Athlete B and Athlete C.
    Reason: Their BMI values fall into the Overweight category, which indicates a higher risk of certain health issues and may impact their athletic performance.

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