Final answer:
The problem is a variation problem in Algebra. The constant of variation was found to be k = 9. So the equation relating m, q, and n is m = 9q/n^2.
Step-by-step explanation:
To solve this problem, we can write the equation as m = kq/n^2, where k is the constant of variation. The question involves direct and inverse variation equations in Algebra, which generally take the form y = kx or y = k/x. In your case, m varies directly as q and inversely as the square of n. So, the equation would look like: m = kq/n^2. To find k, we can plug in known values from the question, namely m = 81, q = 36 and n = 2. Doing so gives us 81 = k*36/4. Solving for k yields k = 9. Hence, the equation relating m, q, and n is m = 9q/n^2. This equation can be used to find the value of m for any given values of q and n.
Learn more about Variation Equations