How do you determine whether #5x-y=0# is an inverse or direct variation?

Answer 1

To determine whether the equation 5x-y=0 represents an inverse or direct variation, we need to examine the coefficients of x and y. In a direct variation, the equation takes the form y = kx, where k is a non-zero constant. In an inverse variation, the equation takes the form xy = k, where k is a non-zero constant.

In the given equation 5x-y=0, we can rearrange it to y = 5x. Since the equation is in the form y = kx, where k=5, it represents a direct variation.

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Answer 2

Direct variation.

#5x-y=0 or 5x =y or x = y/5 or x /y = 1/5# (constant)

This is a direct variation , as y increases , x increases.

In inverse variation , as y increases , x decreases.

The constant of variation is #1/5# i.e x varies directly #1/5# of y. [Ans}
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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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