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

y > 245 25y < 2x


Sorry I cant do the lines under the symbols but you know what I mean

Answer 2

x = teachers

y = students

2/25 <=x/y the ratio of teachers to students must be no less than 2/25

multiply by y

2y/25 <=x

multiply by 25

2y < =25x

it also says there are at least 245 students

y>= 245

the system of equations is

2y < =25x

y>= 245