BMI = Weight (kg)Height (m)²

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5.3.1

a)

Write down the given formula for BMI.
$\text{BMI} = \frac{\text{Weight (kg)}}{\text{Height (m)}^2}$
Substitute Judy's weight and height into the formula.
Judy's weight = $75 \text{ kg}$
Judy's height = $1.8 \text{ m}$
$\text{BMI} = \frac{75}{(1.8)^2}$
Calculate the square of the height.
$\text{BMI} = \frac{75}{3.24}$
Calculate the BMI.
$\text{BMI} \approx 23.1481$
Round the BMI to the nearest ten.
23.1481 is closer to 20 than to 30.
$\text{BMI} \approx 20$
- Judy's BMI is $\boxed{\text{20}}$
b)
Use Judy's calculated BMI (approximately 23.15 before rounding to the nearest ten, or 20 after rounding) and refer to TABLE 3.
Locate the range for the BMI.
A BMI of 23.15 (or 20) falls within the range of $18.5 - 24.9$ .
Identify the corresponding weight status from TABLE 3.
- Judy's weight status is Normal
5.3.2
Refer to TABLE 3 for Thulani's BMI of 26.
Locate the range for the BMI.
A BMI of 26 falls within the range of $25 - 29.9$ .
Identify the corresponding weight status from TABLE 3.
- Thulani's weight status is Overweight
5.3.3
Calculate Thulani's weight using her height and BMI.
Thulani's height = $1.6 \text{ m}$
Thulani's BMI = 26
Rearrange the BMI formula to solve for weight:
$\text{Weight} = \text{BMI} \times \text{Height}^2$ $\text{Weight}_{\text{Thulani}} = 26 \times (1.6)^2$ $\text{Weight}_{\text{Thulani}} = 26 \times 2.56$ $\text{Weight}_{\text{Thulani}} = 66.56 \text{ kg}$
Determine the difference in weight between Judy and Thulani.
Judy's weight = $75 \text{ kg}$
$\text{Difference} = |\text{Weight}_{\text{Judy}} - \text{Weight}_{\text{Thulani}}|$ $\text{Difference} = |75 \text{ kg} - 66.56 \text{ kg}|$ $\text{Difference} = 8.44 \text{ kg}$
- The difference in weight between Judy and Thulani is $\boxed{\text{8.44 kg}}$
5.3.4
Thulani is currently overweight (BMI of 26). To maintain a normal weight status (BMI between 18.5 and 24.9), she needs to reduce her weight.
- Engage in regular physical exercise.

BMI = Weight (kg)Height (m)²

Step-by-step solution

Write down the given formula for BMI.

Substitute Judy's weight and height into the formula.

Calculate the square of the height.

Calculate the BMI.

Round the BMI to the nearest ten.

Use Judy's calculated BMI (approximately 23.15 before rounding to the nearest ten, or 20 after rounding) and refer to TABLE 3.

Locate the range for the BMI.

Identify the corresponding weight status from TABLE 3.

Refer to TABLE 3 for Thulani's BMI of 26.

Locate the range for the BMI.

Identify the corresponding weight status from TABLE 3.

Calculate Thulani's weight using her height and BMI.

Determine the difference in weight between Judy and Thulani.

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