Question

Formulating and Solving Inverse Variation Functions

Answer 1

An inverse variation can be expressed by the equation xy=k or y=kx . That is, y varies inversely as x if there is some nonzero constant k such that, xy = k or y=kx where x≠0 and y≠0 .

Since k is constant, we can find k given any point by multiplying the x-coordinate by the y-coordinate. For example, if y varies inversely as x, and x = 5 when y = 2, then the constant of variation is k = xy = 5(2) = 10. Thus, the equation describing this inverse variation is xy = 10 or y = .

Answer 2

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Explanation:

Since k is constant, we can find k given any point by multiplying the x-coordinate by the y-coordinate. For example, if y varies inversely as x, and x = 5 when y = 2, then the constant of variation is k = xy = 5(2) = 10. Thus, the equation describing this inverse variation is xy = 10 or y = .