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

Answer 1

To find x when y=6, given that y varies inversely as x, you can use the inverse variation formula. The formula is y = k/x, where k is the constant of variation.

First, substitute the given values into the formula: 12 = k/3.

Next, solve for k by multiplying both sides of the equation by 3: 36 = k.

Now, substitute the value of k into the formula: 6 = 36/x.

To find x, isolate it by multiplying both sides of the equation by x: 6x = 36.

Finally, solve for x by dividing both sides of the equation by 6: x = 6.

Therefore, when y=6, x=6.

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Answer 2

Kennedy Adams

#x=6#

An inverse relation means that:

#k=yx#

Where #k# is a constant.

In this case, we have that:

#k=(12)(3)=36#

So we can replace K with 36.

#36=yx#

Now, plug in #y=6# and solve for #x#.

#36=(6)x#

Divide both sides by 6.

#6=x#

Final Answer

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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.