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 $y\geq 245$

Step-by-step 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=$\frac{x}{y}\geq \frac{2}{25}$

$\\\Rightarrow25x\geq 2y$

Hence, b is the right option.