Respuesta :
Using a proportional relationship, the constant of variation is given as follows:
C. 3
What is a proportional relationship?
A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:
y = kx
In which k is the constant of proportionality.
If the measures are inverse proportional, the relation is:
y = k/x
A quantity h varies directly with w and inversely with p, hence the quantity h is given by:
h = kw/p
h = 2, w = 4, and p = 6, hence we can solve for the constant k.
2 = 4k/6
4k = 12
k = 3.
Hence option C is correct.
More can be learned about proportional relationships at https://brainly.com/question/10424180
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