Respuesta :
The constant of variation k = 4 finding by using of direct proportion and indirect proportion.
What is the direct and indirect proportion?
In direct proportion, if one quantity is increased or decreased then the other quantity increases or decreases, respectively. But in indirect or inverse proportion, if one quantity increases then other quantity decreases and vice-versa.
Given that,
m = 2 and p = [tex]\frac{1}{4}[/tex] , j = 32
j varies directly with m means j∝m
Then,
j =km
Where k is a constant.
j inversely with p means j∝[tex]\frac{1}{p}[/tex]
Then,
j varies directly with m and inversely with p
j = k[tex]\frac{m}{p}[/tex]
32 = k [tex]\frac{2}{\frac{1}{4} }[/tex]
32 = 8k
k = 4
Hence, The constant of variation k = 4.
To learn more about direct and indirect proportion from the given link:
https://brainly.com/question/4534871
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