How do you write direct variation equations given y = 32 when x = 8?

Answer 1

#y = 4 xx x#.

A “direct variation equation” is a relationship between two values. This can usually be represented by a line.

In this case a direct relationship between the two values given could be #y = 4 xx x#.

This equation not only results in the given pair of values, but any other direct variation of y with respect to x. For example, if x is 2, y would be 8.

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Answer 2

Eli Assouline

To write a direct variation equation, we use the formula y = kx, where k is the constant of variation. Given that y = 32 when x = 8, we can find k by substituting these values into the formula:

32 = k * 8

Now, solve for k:

k = 32 / 8 k = 4

Therefore, the direct variation equation is y = 4x.

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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.