Direct variations occur when variables in a variation vary proportionately, that is, when they both increase or decrease at the same time. As a result, you can write X Y symbolically if X and Y are in direct variation. The variables alter disproportionally in inverse or indirect variations.
According to the given information:
Let the constant of variation be k
A quantity h varies directly with w and inversely with p
That is,
h∝ w/p
Introducing the constant of variation, k, we get
h = k(w/p)
Also, from the give information,
w = 4
p = 6
h = 2
Putting the parameters into the relation, we get
2 = K x 4/6
6 x 2= 4K
K = (6 x 2)/4
K = 3
Hence, the value of the constant of variation is 3.
What is variation?