With the circle of fifths, my music teacher is asking why it would be f# on one end and bb on the other end. can someone tell me why it would be like that?

F#  is a Part of the sharp family or whatever you want to call it but any note with # is a sharp, A sharp is raising the notes pitch to make it higher where Bb stands for B flat, Flat meaning to lower the notes pitch.

F# Would be on one end and Bb would be on the other because of the note's octave

the notes shown in the picture are going up raising their volume in pitch making it either higher or lower due to the kind of note it could be.

I don't know if this makes any sense

the correct answer is d.

hope this