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

Question

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

UpStudy AI · Accepted Answer

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 = $$\frac{75\% 	ext{ of graduates}}{40\% 	ext{ of students}} = \frac{0.75G}{0.4T} = 1.875 	imes \frac{G}{T}$$
    
  - **Lakeside High**:
    - Graduation Rate = $$\frac{25\% 	ext{ of graduates}}{60\% 	ext{ of students}} = \frac{0.25G}{0.6T} \approx 0.4167 	imes \frac{G}{T}$$
  
- **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**
Andy is correct.

QUESTION 3.
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