# Given that y varies directly with x, how do you write a direct variation equation that relates x and y for x = 5, y = 10?

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The direct variation equation relating $x$ and $y$ for the given values $x = 5$ and $y = 10$ is:

$y = kx$

where $k$ is the constant of variation. To find $k$, we divide $y$ by $x$:

$k = \frac{y}{x} = \frac{10}{5} = 2$

Therefore, the direct variation equation is:

$y = 2x$

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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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