Calculate the height in meters and BMI for each athlete given their height in cm and mass in kg.

Question

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Here are the solutions to your questions:

1.1.1: Convert the height of each athlete to metres.

To convert height from centimetres to metres, divide by 100.

Athlete A: $168 \text{ cm} \div 100 = 1.68 \text{ m}$
Athlete B: $175 \text{ cm} \div 100 = 1.75 \text{ m}$
Athlete C: $182 \text{ cm} \div 100 = 1.82 \text{ m}$
Athlete D: $160 \text{ cm} \div 100 = 1.60 \text{ m}$

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

Athlete A:

Substitute the mass and height values into the BMI formula.
$$ BMI_A = \frac{62 \text{ kg}}{(1.68 \text{ m})^2} $$
Calculate the square of the height.
$$ BMI_A = \frac{62}{2.8224} $$
Divide the mass by the squared height.
$$ BMI_A \approx \boxed{21.97} $$
- Athlete B:
Substitute the mass and height values into the BMI formula.
$$ BMI_B = \frac{78 \text{ kg}}{(1.75 \text{ m})^2} $$
Calculate the square of the height.
$$ BMI_B = \frac{78}{3.0625} $$
Divide the mass by the squared height.
$$ BMI_B \approx \boxed{25.47} $$
- Athlete C:
Substitute the mass and height values into the BMI formula.
$$ BMI_C = \frac{95 \text{ kg}}{(1.82 \text{ m})^2} $$
Calculate the square of the height.
$$ BMI_C = \frac{95}{3.3124} $$
Divide the mass by the squared height.
$$ BMI_C \approx \boxed{28.68} $$
- Athlete D:
Substitute the mass and height values into the BMI formula.
$$ BMI_D = \frac{52 \text{ kg}}{(1.60 \text{ m})^2} $$
Calculate the square of the height.
$$ BMI_D = \frac{52}{2.56} $$
Divide the mass by the squared height.
$$ BMI_D = \boxed{20.31} $$
1.1.3: Refer to the BMI categories provided below to classify the BMI of Athlete C.

The calculated BMI for Athlete C is approximately 28.68.
The BMI categories are:
- Underweight (<18.5)
- Normal (18.5-24.9)
- Overweight (25.0-29.9)
- Obese (≥30.0)
Athlete C's BMI of 28.68 falls within the range of 25.0-29.9.
Therefore, Athlete C is classified as Overweight.

1.1.4: Identify TWO athletes who may require further health advice and provide ONE reason.

Let's classify all athletes based on their calculated BMIs:
- Athlete A: BMI $\approx 21.97$ (Normal)
- Athlete B: BMI $\approx 25.47$ (Overweight)
- Athlete C: BMI $\approx 28.68$ (Overweight)
- Athlete D: BMI $\approx 20.31$ (Normal)
The athletes who may require further health advice are those whose BMI falls outside the "Normal" range (18.5-24.9).
- Athletes: Athlete B and Athlete C.
- Reason: Both Athlete B (BMI $\approx 25.47$ ) and Athlete C (BMI $\approx 28.68$ ) are classified as Overweight, which is outside the healthy BMI range for adults.

Calculate the height in meters and BMI for each athlete given their height in cm and mass in kg.

Step-by-step solution

Substitute the mass and height values into the BMI formula.

Calculate the square of the height.

Divide the mass by the squared height.

Substitute the mass and height values into the BMI formula.

Calculate the square of the height.

Divide the mass by the squared height.

Substitute the mass and height values into the BMI formula.

Calculate the square of the height.

Divide the mass by the squared height.

Substitute the mass and height values into the BMI formula.

Calculate the square of the height.

Divide the mass by the squared height.

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