Question

PLEASE HELP ME 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?

a)2y ≥ 25x and y ≥ 245
b)2y ≤ 25x and y ≥ 245
c)25y ≤ 2x and y ≥ 245
d)25y ≥ 2x and y ≥ 245

Answer 1

its acualy b man sry 

Answer 2

Answer: b)
`2y\leq 25x` and
`y\geq 245`

Explanation:

If y represents students .

"There are at least 245 students enrolled in the school" gives

`y\geq 245`

Since school rules permit no fewer (atleast) than 2 teachers per 25 students.

Thus the rate of teachers=
`(x)/(y)\geq (2)/(25)`

`\\\Rightarrow25x\geq 2y`

Hence, b is the right option.