Answer:
Explanation:
No, the number of students at Lake View Middle School is not proportional to the number of teachers.
Proportionality between two quantities means that they maintain a constant ratio, regardless of their actual values. In this case, if the number of students and teachers were proportional, we would expect the ratio of students to teachers to remain constant as the total number of students or teachers changes.
However, in this scenario, the ratio of students to teachers is not constant. The ratio is 48:2, which simplifies to 24:1. This means that there are 24 students for every 1 teacher. If the number of students at the school were to double to 96, we would expect the number of teachers to double as well if they were proportional. However, this would mean that there would be 4 teachers assigned to the students, which is twice the original number of teachers assigned to the original number of students.
Therefore, the number of students at Lake View Middle School is not proportional to the number of teachers, because the ratio of students to teachers is not constant, and it changes as the total number of students or teachers changes.