230k views
4 votes
M varies directly as q and inversely as the square of n and m = 81 when q = 36 and n = 2

User Pathoren
by
7.5k points

1 Answer

1 vote

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

User Sarpe
by
8.2k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.