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
