Question

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

Answer 1

The value of the constant of variation is 3.

The correct option is C.

What is variation?

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.

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I understand that the question you are looking for is:

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