# If y varies inversely as x. When y = 12, x = 7. How do you find the constant of variation and use it to determine the value for y when x = 4?

To find the constant of variation, we can use the formula for inverse variation: y = k/x, where k is the constant of variation.

Given that when y = 12, x = 7, we can substitute these values into the formula to solve for k: 12 = k/7.

To find the value of k, we can cross-multiply and solve for k: k = 12 * 7 = 84.

Now that we have the constant of variation (k = 84), we can use it to determine the value of y when x = 4.

Using the formula y = k/x, we substitute the values of k and x: y = 84/4 = 21.

Therefore, when x = 4, y = 21.

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The constant of variation is

When

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