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If y is inversely proportional to x and y=14 when x=19, find an equation connecting x and y.

Question

If y is inversely proportional to x and y=14 when x=19, find an equation connecting x and y.

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Solution

If y is inversely proportional to x, we can express this relationship as y = k/x, where k is the constant of variation.

We know that y = 14 when x = 19. We can substitute these values into the equation to find the value of k.

So, 14 = k/19. Solving for k, we get k = 14 * 19 = 266.

Therefore, the equation connecting x and y is y = 266/x.

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