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 nextreset ©

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     =   = 25 students/teacher

7                2                  50     = = 25 students/teacher

8                3                  75     = = 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.   = 25    [ Same ratio ]

2. = 30    [ Not the same ratio ]

3. = 25    [ Same ratio ]

4. = 17.857 [ not the same ratio]

Therefore, Option 1 and 3 is the answer.

in problems involving proportions, we can use cross products to test whether two ratios are equal and form a proportion. to find the cross products of a proportion, we multiply the outer terms, called the extremes, and the middle terms, called the means.

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