Question

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?

2y ≥ 25x and y ≥ 245
2y ≤ 25x and y ≥ 245
25y ≤ 2x and y ≥ 245
25y ≥ 2x and y ≥ 245

Answer 1

B- 2y ≤ 25x and y ≥ 245

Explanation:

Peep the attachment (proof)

Answer 2

(b) 2y ≤ 25x and y ≥ 245

Explanation:

You want the teacher/student ratio to be at least 2/25, so ...

x/y ≥ 2/25

25x ≥ 2y . . . . . multiply by 25y

2y ≤ 25x . . . . . swap sides to get the form used in answer choice B

The other inequality says the number of students is at least 245:

y ≥ 245