1.8 An 8-year-old girl is 80 cm tall and weighs 32 kg . Determine the weight status of the girl. 1.9 A 10 -year-old girl is \( 1,1 \mathrm{~m} \) tall and weighs 26 kg . Determine how much less this girl would have to weigh in order for her weight status to be classified in the 'Healthy' category. 1.10 If you were a medical practitioner, what advice would you give to the parents of a 14-year-old girl who has a BMI value of \( 28,7 \mathrm{~kg} / \mathrm{m}^{2} \) ?

To determine the weight status of the girls in the problems provided, we will use the Body Mass Index (BMI) formula, which is given by: \[ \text{BMI} = \frac{\text{weight (kg)}}{\text{height (m)}^2} \] We will also refer to the BMI categories to classify their weight status: - Underweight: BMI < 18.5 - Healthy weight: BMI 18.5 - 24.9 - Overweight: BMI 25 - 29.9 - Obesity: BMI ≥ 30 ### Problem 1.8 **Given:** - Height = 80 cm = 0.8 m - Weight = 32 kg **Step 1: Calculate BMI** \[ \text{BMI} = \frac{32}{(0.8)^2} \] Let's calculate this value. ### Problem 1.9 **Given:** - Height = 1.1 m - Weight = 26 kg **Step 1: Calculate BMI** \[ \text{BMI} = \frac{26}{(1.1)^2} \] **Step 2: Determine the healthy weight range** To find the healthy weight range, we will calculate the weight corresponding to a BMI of 18.5 and 24.9. \[ \text{Weight}_{\text{min}} = 18.5 \times (1.1)^2 \] \[ \text{Weight}_{\text{max}} = 24.9 \times (1.1)^2 \] **Step 3: Calculate how much less she would need to weigh to be in the healthy category.** ### Problem 1.10 **Given:** - BMI = 28.7 kg/m² **Step 1: Calculate the weight corresponding to this BMI for a 14-year-old girl.** Assuming an average height for a 14-year-old girl is around 1.6 m (this can vary), we will calculate the weight: \[ \text{Weight} = 28.7 \times (1.6)^2 \] **Step 2: Provide advice based on the BMI value.** Now, let's perform the calculations for Problems 1.8 and 1.9, and then we will summarize the advice for Problem 1.10. Calculate the value by following steps: - step0: Calculate: \(18.5\times 1.1^{2}\) - step1: Convert the expressions: \(18.5\left(\frac{11}{10}\right)^{2}\) - step2: Convert the expressions: \(\frac{37}{2}\left(\frac{11}{10}\right)^{2}\) - step3: Multiply the numbers: \(\frac{4477}{200}\) Calculate or simplify the expression \( 28.7*(1.6)^2 \). Calculate the value by following steps: - step0: Calculate: \(28.7\times 1.6^{2}\) - step1: Convert the expressions: \(28.7\left(\frac{8}{5}\right)^{2}\) - step2: Convert the expressions: \(\frac{287}{10}\left(\frac{8}{5}\right)^{2}\) - step3: Multiply the numbers: \(\frac{9184}{5^{3}}\) - step4: Evaluate the power: \(\frac{9184}{125}\) Calculate or simplify the expression \( 26/(1.1)^2 \). Calculate the value by following steps: - step0: Calculate: \(\frac{26}{1.1^{2}}\) - step1: Convert the expressions: \(\frac{26}{\left(\frac{11}{10}\right)^{2}}\) - step2: Simplify the expression: \(\frac{26}{\frac{11^{2}}{10^{2}}}\) - step3: Rewrite the expression: \(\frac{2600}{11^{2}}\) - step4: Evaluate the power: \(\frac{2600}{121}\) Calculate or simplify the expression \( 32/(0.8)^2 \). Calculate the value by following steps: - step0: Calculate: \(\frac{32}{0.8^{2}}\) - step1: Convert the expressions: \(\frac{32}{\left(\frac{4}{5}\right)^{2}}\) - step2: Simplify the expression: \(\frac{32}{\frac{4^{2}}{5^{2}}}\) - step3: Rewrite the expression: \(\frac{800}{4^{2}}\) - step4: Reduce the fraction: \(50\) Calculate or simplify the expression \( 24.9*(1.1)^2 \). Calculate the value by following steps: - step0: Calculate: \(24.9\times 1.1^{2}\) - step1: Convert the expressions: \(24.9\left(\frac{11}{10}\right)^{2}\) - step2: Convert the expressions: \(\frac{249}{10}\left(\frac{11}{10}\right)^{2}\) - step3: Multiply the numbers: \(\frac{30129}{10^{3}}\) - step4: Evaluate the power: \(\frac{30129}{1000}\) ### Problem 1.8 **BMI Calculation:** - For the 8-year-old girl: \[ \text{BMI} = \frac{32}{(0.8)^2} = 50 \] **Weight Status:** - A BMI of 50 indicates that the girl is classified as **Obese**. --- ### Problem 1.9 **BMI Calculation:** - For the 10-year-old girl: \[ \text{BMI} = \frac{26}{(1.1)^2} \approx 21.49 \] **Healthy Weight Range Calculation:** - Minimum healthy weight: \[ \text{Weight}_{\text{min}} = 18.5 \times (1.1)^2 \approx 22.39 \text{ kg} \] - Maximum healthy weight: \[ \text{Weight}_{\text{max}} = 24.9 \times (1.1)^2 \approx 30.13 \text{ kg} \] **Weight Status:** - The girl currently weighs 26 kg, which is within the healthy weight range (22.39 kg to 30.13 kg). **Conclusion:** - She does not need to lose weight to be classified as healthy, as she is already within the healthy weight range. --- ### Problem 1.10 **Weight Calculation:** - For the 14-year-old girl with a BMI of 28.7: \[ \text{Weight} = 28.7 \times (1.6)^2 \approx 73.47 \text{ kg} \] **Advice:** - Since a BMI of 28.7 classifies her as **Overweight**, I would advise the parents to: - Encourage a balanced diet rich in fruits, vegetables, whole grains, and lean proteins. - Promote regular physical activity, aiming for at least 60 minutes of moderate to vigorous exercise most days of the week. - Consult with a healthcare provider or a nutritionist for personalized guidance and support. - Monitor her growth and development regularly to ensure she is on a healthy path. This comprehensive approach can help manage her weight and promote overall health.