QUESTION 3. \( \begin{array}{l}\text { The performance of Southport's two high schools has been quite consistent over the past } 5 \text { years. } \\ \text { In each of those years, Suburban High has enrolled } 40 \% \text { of Southport's students and produced } \\ 75 \% \text { of the town's high school graduates, while Lakeside High has accounted for the remainder. } \\ \text { Andy: "Lakeside High has graduated a lower percentage of its attendees than has Suburban High." } \\ \text { Jade: "The total number of students attending each high school has remained roughly constant." } \\ \text { If the information in the box is true, whose reasoning is correct? } \\ \text { A Andy only } \\ \text { B Jade only } \\ \text { C Both Andy and Jade }\end{array} \).

Let's analyze the statements based on the provided information. ### Given Data: - **Suburban High**: - Enrolls **40%** of Southport's students. - Graduates **75%** of the town's high school graduates. - **Lakeside High**: - Enrolls the remaining **60%** of students. - Graduates **25%** of the town's high school graduates. ### Analyzing Andy's Statement: **Andy claims:** "Lakeside High has graduated a lower percentage of its attendees than has Suburban High." - **Graduation Rate Calculation:** - **Suburban High**: - Graduation Rate = \(\frac{75\% \text{ of graduates}}{40\% \text{ of students}} = \frac{0.75G}{0.4T} = 1.875 \times \frac{G}{T}\) - **Lakeside High**: - Graduation Rate = \(\frac{25\% \text{ of graduates}}{60\% \text{ of students}} = \frac{0.25G}{0.6T} \approx 0.4167 \times \frac{G}{T}\) - **Conclusion:** Suburban High has a higher graduation rate compared to Lakeside High, which means Andy's statement is **correct**. ### Analyzing Jade's Statement: **Jade claims:** "The total number of students attending each high school has remained roughly constant." - **Evaluation:** - The data indicates that Suburban High consistently enrolls **40%** and Lakeside High **60%** of students over the past 5 years. - However, this **percentage consistency** does **not** necessarily imply that the **absolute number** of students in each school has remained constant. The total number of students could have varied over the years while maintaining the same enrollment percentages. - **Conclusion:** Jade's reasoning regarding the constant absolute number of students is **not necessarily supported** by the given data. ### Final Answer: **A. Andy only**