Question

The table gives the numbers of teachers and students in grades 6 to 8 at Earhart Middle School.

Grade Teachers Students
6 1 25
7 2 50
8 3 75

Which teacher-to-student ratio maintains the proportional relationship described in the table?


Teachers Students
5 125


Teachers Students
4 120


Teachers Students
4 100


Teachers Students
6 130


Teachers Students
7 125

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Answer 1

I believe its Teachers Students 5 125
for every teacher its 25 students

Answer 2

Option 1 and 3.

Explanation:

The table gives the number of teachers and students in grades 6 to 8.

Grade Teachers Students

6 1 25 =
`(25)/(1)` = 25 students/teacher

7 2 50 =
`(50)/(2)` = 25 students/teacher

8 3 75 =
`(75)/(3)` = 25 students/teacher

Therefore, we can say on every 25 students there are 1 teacher. we will find the ratio which maintains the proportional relationship.

1.
`(125)/(5)` = 25 [ Same ratio ]

2.
`(120)/(4)` = 30 [ Not the same ratio ]

3.
`(100)/(4)` = 25 [ Same ratio ]

4.
`(125)/(7)` = 17.857 [ not the same ratio]

Therefore, Option 1 and 3 is the answer.