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

Answer:

Option 1 and 3.

Step-by-step explanation:

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

Grade    Teachers     Students

6                1                   25     =  $\frac{25}{1}$ = 25 students/teacher

7                2                  50     = $\frac{50}{2}$ = 25 students/teacher

8                3                  75     = $\frac{75}{3}$ = 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.  $\frac{125}{5}$ = 25    [ Same ratio ]

2. $\frac{120}{4}$ = 30    [ Not the same ratio ]

3. $\frac{100}{4}$ = 25    [ Same ratio ]

4. $\frac{125}{7}$ = 17.857 [ not the same ratio]

Therefore, Option 1 and 3 is the answer.