Answer
See below
Work Step by Step
Given $q=-1.75\\r=-2\\s=1\\t=16$
Plug in $\frac{qrs^2}{\sqrt t}=k\\\frac{(-1.75)(-2)(1)^2}{\sqrt 16}=k\\k=0.875$
With $s=-3\\r=5\\t=25$
We have $\frac{qrs^2}{\sqrt t}=k\\\frac{q(5)(-3)^2}{\sqrt 25}=0.875\\q=\frac{7}{72}$