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If y is inversely proportional to x, and y = 12 when x = 0.5 ,what is the value of y when x = 2?y =

Question

If y is inversely proportional to x, and y = 12 when x = 0.5, what is the value of y when x = 2?

y =

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Solution

If y is inversely proportional to x, it means that the product of y and x is a constant. We can express this as y = k/x, where k is the constant of variation.

From the problem, we know that y = 12 when x = 0.5. We can substitute these values into the equation to find the constant of variation:

12 = k/0.5 k = 12 * 0.5 k = 6

Now that we know the constant of variation, we can find the value of y when x = 2:

y = k/x y = 6/2 y = 3

So, the value of y when x = 2 is 3.

This problem has been solved

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