SOLUTION: Find the variation constant and equation of variation in which y varies inversely as x, and y = 30 when x = 2.

Question 1098796: Find the variation constant and equation of variation in which y varies inversely as x, and y = 30 when x = 2.

Found 2 solutions by josgarithmetic, greenestamps:
Answer by josgarithmetic(39630) (Show Source): You can put this solution on YOUR website!

Answer by greenestamps(13214) (Show Source): You can put this solution on YOUR website!

Let me just expand a bit on what the other tutor said in her response.

Inverse variation means one number gets smaller as the other gets larger, or vice versa. If written in function notation ("y equals something"), an inverse variation equation is of the form .

Notice that this form shows you that as x gets larger, y will get smaller proportionally; and as x get smaller, y will get larger proportionally.

Another form of the equation that says the same thing is . (If the product of two numbers is a constant, then when one gets bigger the other must get smaller...)

I personally find this form of the direct variation equation easier to work with....

In particular, for the problem you ask about, where we are to find the value of the variation constant given the x and y values, this second form of the equation gives you the answer directly: .
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