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Assume y varies inversely as x, if y=12 when x=3, how do you find x when y=6?

Answer 1

To find x when y=6, we can use the inverse variation formula: y = k/x.

First, we need to find the constant of variation (k). We can do this by substituting the given values into the formula: 12 = k/3.

Solving for k, we multiply both sides by 3: k = 36.

Now that we have the value of k, we can find x when y=6 by substituting the values into the formula: 6 = 36/x.

To solve for x, we can cross-multiply: 6x = 36.

Dividing both sides by 6, we find that x = 6.

Therefore, when y=6, x=6.

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Answer 2

Julia Adams

#6#

#y" "#varies inversely as #x#

#=>y prop 1/x#

#=>y=k/x" for some constant "k#

#y=12" when "x=3#

#:.12=k/3=>k=36#

#:. y=36/x#

#y=6#

#6=36/x#

#=>x=36/6=6#

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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.