# If y varies inversely as x, and y = 12 as x = 2, how do you find y for the x-value of 6?

To find y for the x-value of 6, we can use the inverse variation equation. First, we need to determine the constant of variation, which is denoted as k. In this case, since y varies inversely as x, we have the equation y = k/x.

To find k, we can substitute the given values of y and x into the equation. When y = 12 and x = 2, we have 12 = k/2. Solving for k, we multiply both sides by 2, giving us k = 24.

Now that we have the value of k, we can use it to find y for the x-value of 6. Plugging in x = 6 into the inverse variation equation, we have y = 24/6. Simplifying, we find y = 4.

Therefore, when x = 6, y is equal to 4.

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Write as an inverse proportion first then make an equation by multiplying by k,

Find the value of k.

You can now find any value of y or x if you are given the x or the y value.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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