School rules permit no fewer than 2 teachers per 25 students. There are at least 245 students enrolled in the school. If x represent teachers and y represents students, which system of linear inequalities can be used to determine the possible number of teachers and students at the school?

1) Students, y

y ≥ 245

2) Teachers, x

x ≥ 2 (y/25)

x ≥ 2y/25

The system of equations is

y ≥ 245

x ≥ 2y/25

First, let's write down this inequality:

There are at least 245 students enrolled in the school.

y≥245

This inequality says what the sentence says!

now, the number of teachers must be:

x≥2 * (y/25)

(two times the number of groups of students of 25!)

so those two inequalities, taken together will be the answer!