Problem 757

Find the variation constant and an equation of variation where y varies inversely as x and y = 5 when x = 14.




For inverse variation, use the equation y = \frac{k}{x}.

Substitute 14 for x and for y.

5 = \frac{k}{14}

Solve for k.

K = 70

The variation constant is 70.

The equation of variation is y = \frac{70}{x}.

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