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How do you write the inverse variation equation of the following. Y varies inversely with x and y = -12 when x = 6?

Answer 1

The inverse variation equation is y = k/x, where k is the constant of variation. To find the value of k, we can substitute the given values of y and x into the equation. Therefore, -12 = k/6. Solving for k, we get k = -72. Thus, the inverse variation equation is y = -72/x.

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Answer 2

Isaiah Anthony

Inverse variation equation is #y=-72/x#

When #y# varies inversely with #x#, we have #yprop1/x# i.e.

#y=1/x xxk#, where #k# is a constant. In other words, multiplying both sides by #x#, we get

#x xx y=k#

Here #y=-12#, when #x=6#

i.e. #6xx(-12)=k# or #k=-72#

Hence inverse variation equation is #y=-72/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.