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.
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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