Question

At a certain middle school, there are 26 students per teacher in every homeroom. Is the total number of students proportional to the number of teachers?

Answer 1

Yes, because the proportion would be 26:1.

Answer 2

Yes

Explanation:

Let the number of students be
`a` and number of teachers be
`b`

As there are 26 students per teacher in every homeroom in the middle school, this can be written in expression as:

`a = 26b`

now, this can be converted into proportionality expression considering 26 as constant of proportionality and will be written as:

`a \propto b`

hence we can say that total number of students in middle school is proportional to total number of teachers