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 2 25x and y 2 245
2y s 25x and y 2 245
25y s 2x and y 2 245
254 2 2x and y 2 245

Answer 1

25y s 2x and y 2 245

Step-by-step explanation: For this question, you just need to use context to help you in the answer.

We know that there has to be a 25:2 ratio, and that there are 245 students in the school. x= teachers y=students

We know that the boundary for number of students should be less than or equal to y.

y≥245 (the equation for this is the same for every answer)

So, the hard part is finding the ratio for the students to teachers.

We have 2y≥25x 2y≤25x 25y≤2x and 25y≥2x

We know that we can eliminate the answer choices that have the wrong variables in front of them. Number 1 is out, because x is the teachers. Number 2 is out for the same reason.

We also know that the school has to have no fewer than 2 teachers per 25 students, so you can have more teachers than necessary but no more students than necessary.

The best answer would be 25y s 2x and y 2 245.

I hope this helps!

Answer 2

B

Explanation:

Just got it on Time4learning home school website