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Convert athlete heights to meters, calculate their BMIs, and classify Athlete C's BMI.

Mathematics

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Step-by-step solution

6 steps

1.1.1 Convert the height of each athlete to metres.

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

    • 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}

    1.1.2 Calculate the BMI of each athlete using the formula below.

    BMI=mass (kg)(height (m))2\text{BMI} = \frac{\text{mass (kg)}}{(\text{height (m)})^2}
  2. Calculate the BMI for each athlete using their mass and converted height.

    • Athlete A: BMIA=62 kg(1.68 m)2=622.8224≈21.96\text{BMI}_A = \frac{62 \text{ kg}}{(1.68 \text{ m})^2} = \frac{62}{2.8224} \approx 21.96
    • 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.

  3. Compare Athlete C's BMI to the categories.

    Athlete C's BMI is approximately 28.68.
    According to the chart:

    • Underweight (<18.5)
    • Normal (18.5–24.9)
    • Overweight (25.0–29.9)
    • Obese (≥30.0)
  4. Classify Athlete C.

    Since 25.0≤28.68≤29.925.0 \le 28.68 \le 29.9, Athlete C is classified as Overweight.

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

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

    • Athlete A: BMI 21.96 (Normal)
    • Athlete B: BMI 25.47 (Overweight)
    • Athlete C: BMI 28.68 (Overweight)
    • Athlete D: BMI 20.31 (Normal)
  6. Select two athletes and provide a reason.

    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 they are at an increased risk for certain health conditions.

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