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?

A. 1/2
B. 4/3
C. 3
D. 12

Answer 1

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

Answer 2

Answer: Option 'C' is correct.

Explanation:

Since we have given that

h varies directly with w and inversely with p.

so, Mathematically, it is expressed as

`h=(kw)/(p)`

Here, h = 2

w = 4

p = 6.

So, it becomes,

`2=(4k)/(6)\\\\2* 6=4k\\\\12=4k\\\\(12)/(4)=k\\\\k=3`

Hence, Option 'C' is correct.