Here are the solutions to your questions: 5.3.1 a) Step 1: Write down the given formula for BMI. $$\text{BMI} = \frac{\text{Weight (kg)}}{\text{Height (m)}^2}$$ Step 2: Substitute Judy's weight and height into the formula. Judy's weight = $75 \text{ kg}$ Judy's height = $1.8 \text{ m}$ $$\text{BMI} = \frac{75}{(1.8)^2}$$ Step 3: Calculate the square of the height. $$\text{BMI} = \frac{75}{3.24}$$ Step 4: Calculate the BMI. $$\text{BMI} \approx 23.1481$$ Step 5: 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) Step 1: Use Judy's calculated BMI (approximately 23.15 before rounding to the nearest ten, or 20 after rounding) and refer to TABLE 3. Step 2: Locate the range for the BMI. A BMI of $23.15$ (or $20$) falls within the range of $18.5 - 24.9$. Step 3: Identify the corresponding weight status from TABLE 3. Judy's weight status is Normal 5.3.2 Step 1: Refer to TABLE 3 for Thulani's BMI of $26$. Step 2: Locate the range for the BMI. A BMI of $26$ falls within the range of $25 - 29.9$. Step 3: Identify the corresponding weight status from TABLE 3. Thulani's weight status is Overweight 5.3.3 Step 1: 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: $$\text{Weight} = \text{BMI} \times \text{Height}^2$$ $$\text{Weight}_{\text{Thulani}} = 26 \times (1.6)^2$$ $$\text{Weight}_{\text{Thulani}} = 26 \times 2.56$$ $$\text{Weight}_{\text{Thulani}} = 66.56 \text{ kg}$$ Step 2: 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. That's 2 down. 3 left today — send the next one.