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Calculate the height in meters for each athlete and their Body Mass Index (BMI).

Mathematics

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Question 1.1.1

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

    Height (m)=Height (cm)100\text{Height (m)} = \frac{\text{Height (cm)}}{100}
    • Athlete A:
    168100=1.68 m\frac{168}{100} = 1.68\, \text{m}
    • Athlete B:
    175100=1.75 m\frac{175}{100} = 1.75\, \text{m}
    • Athlete C:
    182100=1.82 m\frac{182}{100} = 1.82\, \text{m}
    • Athlete D:
    160100=1.60 m\frac{160}{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))2BMI = \frac{\text{mass (kg)}}{(\text{height (m)})^2} and the converted heights from 1.1.1.

    • Athlete A:
    BMIA=62(1.68)2=622.8224≈21.96BMI_A = \frac{62}{(1.68)^2} = \frac{62}{2.8224} \approx 21.96
    • Athlete B:
    BMIB=78(1.75)2=783.0625≈25.47BMI_B = \frac{78}{(1.75)^2} = \frac{78}{3.0625} \approx 25.47
    • Athlete C:
    BMIC=95(1.82)2=953.3124≈28.68BMI_C = \frac{95}{(1.82)^2} = \frac{95}{3.3124} \approx 28.68
    • Athlete D:
    BMID=52(1.60)2=522.56≈20.31BMI_D = \frac{52}{(1.60)^2} = \frac{52}{2.56} \approx 20.31

    The BMI for each athlete is:

    • Athlete A: 21.96\boxed{\text{21.96}}
    • Athlete B: 25.47\boxed{\text{25.47}}
    • Athlete C: 28.68\boxed{\text{28.68}}
    • Athlete D: 20.31\boxed{\text{20.31}}

    Question 1.1.3

  3. Refer to the BMI calculated for Athlete C in 1.1.2 and the provided BMI 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's BMI.

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

    Question 1.1.4

  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 who may require further health advice.

    Athletes B and C are outside the normal range.

  7. Provide one reason for the selected athletes.

    • Athletes: Athlete B and Athlete C.
    • Reason: Both athletes have a BMI in the Overweight category, which can increase the risk of various health issues and potentially impact their athletic performance.
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