"y is directly proportional to x and is inversely proportional to the square root of w", Give the equation,

Question

"y is directly proportional to x and is inversely proportional to the square root of w", Give the equation,

 

Using the answer you got from question #12, find k when y = 4, x = 12 and w = 4.

Answer 1

 

 y = kx/sqrt(w) where k is  fixed number constant

 

4 = k(12)/sqrt(4) ---> 4 = 12k/2 ---> 4 = 6k ---> k = 2/3

 

y = (2/3)*x/sqrt(w) = (2x)/(3*sqrt(w))