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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

Respuesta :

its acualy b man sry 
JeanaShupp

Answer: b) [tex]2y\leq 25x[/tex] and [tex]y\geq 245[/tex]


Step-by-step explanation:

If y represents students .

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

[tex]y\geq 245[/tex]

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

Thus the rate of teachers=[tex]\frac{x}{y}\geq \frac{2}{25}[/tex]

[tex]\\\Rightarrow25x\geq 2y[/tex]

Hence, b is the right option.

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