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Question

The given pair of value form an inverse variation. Find the missing value:
(3,7),(8,y)

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Solution

The statement " y varies inversely as x means that when x increases, y decreases by the same factor. In other words, the expression xy is constant:

xy=k

where k is the constant of variation.

Here, it is given that x=3 is inversely proportional to y=7, therefore,

xy=k3×7=kk=21

Thus, the general equation is xy=21.

Since x=8, therefore,

xy=218y=21y=218=2.62

Hence, y=2.62 when x=8.

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