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Suppose y varies inversely with x, how do you write an equation for the inverse variation if y = 9 when x = 4?

Answer 1

Eva Abramson

If #y# varies inversely with #x# then #y = c/x# for some constant #c#

Given that #(x,y) = (4,9)# is a solution to this equation: #9 = c/4#

#rarr c= 36#

and the equation is #y = 36/x#

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Answer 2

Isaiah Anthony

The equation for the inverse variation is y = k/x, where k is the constant of variation. To find the value of k, substitute the given values of y and x into the equation and solve for k. In this case, when y = 9 and x = 4, the equation becomes 9 = k/4. Solving for k, we get k = 36. Therefore, the equation for the inverse variation is y = 36/x.

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Answer from HIX Tutor

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.