Question

A quantity h varies directly with w and inversely with p. If h = 2, w = 4, and p = 6. What is the constant of variation?

Answer 1

Answer: Option 'C' is correct.

Step-by-step explanation:

Since we have given that

h varies directly with w and inversely with p.

so, Mathematically, it is expressed as

$h=\dfrac{kw}{p}$

Here, h = 2

w = 4

p = 6.

So, it becomes,

$2=\dfrac{4k}{6}\\\\2\times 6=4k\\\\12=4k\\\\\dfrac{12}{4}=k\\\\k=3$

Hence, Option 'C' is correct.

Answer 2

Answer is (C).

let's take the constant as K.

h= K. (w/p)

so; K= (hp ÷w)
K= (2x6) ÷ 4
K = 12÷4
K= 3