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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?

Respuesta :

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h α w/p

h = kw/p          where k = constant of variation.

h*p = kw

hp/w = k

k = hp/w

k = 2*6/4

k = 3

Constant of variation = 3.

Answer with Step-by-step explanation:

A quantity h varies directly with w and inversely with p.

i.e. h ∝ w/p

Let k be the constant of variation

then, h = kw/p

h = 2, w = 4, and p = 6

We have to find the value of k

2 = 4k/6

Multiplying both sides by 6, we get

12 = 4k

dividing both sides by 4, we get

k = 3

Hence, Constant of variation is:

3

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