Question 1114255: find an equation of variation where y varies inversely as x and y =10 when x=15 Found 2 solutions by josmiceli, greenestamps:Answer by josmiceli(19441) (Show Source):
You can put this solution on YOUR website! = constant of proportionality
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given:
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The equation is:
While the formal solution by the other tutor using a constant of proportionality is fine, I find inverse variation far easier to work with and understand if I just think of the product of the two variables being constant.
In your example, y is 10 and x is 15; the product is 150.
So an equation showing that y is inversely proportional to x in your example is
xy = 150.
Which of course is equivalent to the other tutor's answer, y = 150/x.