Summer math class: Calculate the # of administrators vs. the # of qualified math teachers

Laurie Rogers:

Problem # 1. The number of useless administrators varied inversely with the number of qualified math teachers squared.

When there were 200 qualified math teachers, there were 5 useless administrators. As the number of qualified math teachers was cut back to 25, how many useless administrators were there?

Below is a calculation for Problem #1.
Below that is a parody of typical professional development (PD) for teachers and staff, related to Problem #1.

Answer: As the number of qualified math teachers was cut back to 25, the number of useless administrators increased to 320.

This number, of course, is fake. The number of truly qualified math teachers in most public school districts (i.e. those who know enough math to teach it to at least their grade and the grade following) has been purposefully cut back by colleges of education and administrators to “small,” “infinitesimal,” or “a speck, really.”