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3.2 (a) and (b) and 2.3.3 (a) and (b) referring to fan's BMI and weight loss to reach BMI of 30

Mathematics

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I can help you with question 2.3.3. Unfortunately, the chart mentioned in question 2.3.2 is not visible in the image, so I cannot answer parts 2.3.2 (a) and (b).

Here are the calculations for 2.3.3:

2.3.3 a) Calculate the fan's BMI using the formula provided.

  1. Identify the given values for weight and height.

    Weight =105 kg= 105 \text{ kg}
    Height =1.73 m= 1.73 \text{ m}

  2. Use the BMI formula

    BMI=Weight (kg)(Height in m)2\text{BMI} = \frac{\text{Weight (kg)}}{(\text{Height in m})^2}.

    BMI=105(1.73)2\text{BMI} = \frac{105}{(1.73)^2}
  3. Calculate the square of the height.

    (1.73)2=2.9929(1.73)^2 = 2.9929
  4. Substitute the squared height into the BMI formula and calculate.

    BMI=1052.9929\text{BMI} = \frac{105}{2.9929} BMI≈35.088\text{BMI} \approx 35.088

    The fan's BMI is approximately 35.09\boxed{\text{35.09}}.

    2.3.3 b) Determine how many full kilograms this fan must lose to reach a BMI of exactly 30.

  5. Identify the target BMI and the fan's height.

    Target BMI =30= 30
    Height =1.73 m= 1.73 \text{ m}

  6. Rearrange the BMI formula to solve for the target weight.

    Weight (kg)=BMI×(Height in m)2\text{Weight (kg)} = \text{BMI} \times (\text{Height in m})^2
  7. Calculate the target weight for a BMI of 30.

    Target Weight=30×(1.73)2\text{Target Weight} = 30 \times (1.73)^2 Target Weight=30×2.9929\text{Target Weight} = 30 \times 2.9929 Target Weight=89.787 kg\text{Target Weight} = 89.787 \text{ kg}
  8. Calculate the difference between the current weight and the target weight.

    Current weight =105 kg= 105 \text{ kg}

    Kilograms to lose=Current Weight−Target Weight\text{Kilograms to lose} = \text{Current Weight} - \text{Target Weight} Kilograms to lose=105 kg−89.787 kg\text{Kilograms to lose} = 105 \text{ kg} - 89.787 \text{ kg} Kilograms to lose=15.213 kg\text{Kilograms to lose} = 15.213 \text{ kg}
  9. Determine the number of full kilograms to lose.

    The fan must lose 15 full kilograms\boxed{\text{15 full kilograms}}.

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