If m varies directly as the square root of y, inversely as p 2, and directly as n, what happens to m when y is quadrupled, p is tripled, and n is multiplied by 5?

This is the concept of proportionality, given that m is directly proportion to y and n and inversely proportional to p^2. We are required to find what happens to m when y is quadrupled, p is tripled and n is multiplied by 5;

From the equation;

m = (yn) / p^2

when:

y is quadrupled we get 4y

p is tripled we get 3p

n is multiplied by 5 we get 5n

thus the new value of m will be:

m = (4y*5n) / (3p) ^2

m = (20yn) / 9p^2

m = (20/9) (yn/p^2)

that means that m will be increased bby 20/9