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If y varies inversely as x and y = 9 when x = 14, how do you find why when x = 6?

Answer 1

To find y when x = 6, we can use the inverse variation formula. The formula states that y varies inversely as x, which can be written as y = k/x, where k is the constant of variation.

To find the value of k, we can use the given information that y = 9 when x = 14. Plugging these values into the formula, we get 9 = k/14.

To find the value of k, we can multiply both sides of the equation by 14, which gives us 126 = k.

Now that we have the value of k, we can substitute it back into the formula to find y when x = 6. Plugging in x = 6 and k = 126, we get y = 126/6 = 21.

Therefore, when x = 6, y = 21.

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Answer 2

Eva Adamson

#y=21#

Let #k# be a constant

#x=kxx1/y#

#=> k=xy = 9xx14= 126#

#=>x=126/y#

So # y = 126/x#

At #x=6" we have "#

#y=126/6 = 21#

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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.