How do you determine whether #y/x=9# is an inverse or direct variation?

Answer 1

To determine whether y/x=9 is an inverse or direct variation, we need to analyze the equation. In inverse variation, as one variable increases, the other variable decreases, and their product remains constant. In direct variation, as one variable increases, the other variable also increases, and their ratio remains constant.

In the given equation y/x=9, we can see that as x increases, y also increases, and their ratio remains constant at 9. Therefore, y/x=9 represents a direct variation.

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Answer 2

Direct variation.

#y/x=9# => multiply both sides by #x#:
#y=9x# => in the form of #y=kx# => #y# varies directly as #x#,
where: #k# is the constant of variation.

Thus in this case:

#y=9x# => #y# varies directly as #x#, #k = 9#
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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.

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.

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.

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.

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