This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
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You're on a roll — 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. Step 1: Convert heights from centimeters to meters by dividing by 100. • Athlete A: 168 cm = (168)/(100) m = 1.68 m • Athlete B: 175 cm = (175)/(100) m = 1.75 m • Athlete C: 182 cm = (182)/(100) m = 1.82 m • Athlete D: 160 cm = (160)/(100) m = 1.60 m 1.1.2 Calculate the BMI of each athlete using the formula BMI = mass (kg)(height (m))^2. Step 2: Calculate BMI for each athlete. • Athlete A: BMI_A = 62 kg(1.68 m)^2 = (62)/(2.8224) ≈ 21.97 • Athlete B: BMI_B = 78 kg(1.75 m)^2 = (78)/(3.0625) ≈ 25.47 • Athlete C: BMI_C = 95 kg(1.82 m)^2 = (95)/(3.3124) ≈ 28.68 • Athlete D: BMI_D = 52 kg(1.60 m)^2 = (52)/(2.56) ≈ 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) Step 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. Step 4: Identify athletes whose BMI falls outside the "Normal" range (18.5–24.9). • Athlete A: BMI ≈ 21.97 (Normal) • Athlete B: BMI ≈ 25.47 (Overweight) • Athlete C: BMI ≈ 28.68 (Overweight) • Athlete D: BMI ≈ 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. Drop the next question.