Find k, the constant of variation

Question

M varies jointly as N and the square of P an inversly as r, m=54 when n=6, p=3, and r=4

Answer 1

When you get a statement of direct or inverse variation, that means that one equals the other or product/quotient of the others with a constant factor. Direct variation is multiplied, inverse is divided.

 

The three types of variation you have here are:

M ∝ N

M ∝ P²

M ∝ 1/r

 

Put them together, and M = k NP²/r

 

Plug in your given values of M, N, P, and r, and solve for k.

 

Please comment if you have further questions.