THe value of y varies directly with x. If x=7when y=21,then what is the value of x when y =117?

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Algebra I: Variation

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Direct Variation

SUMMARY DIRECT VARIATION

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Direct Variation

The statement "y varies directly as x," means that when x increases, y increases by the same factor. In other words, y and x always have the same ratio:

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= k    

where k is the constant of variation.

We can also express the relationship between x and y as:

y = kx    

where k is the constant of variation.

Since k is constant (the same for every point), we can find k when given any point by dividing the y-coordinate by the x-coordinate. For example, if y varies directly as x, and y = 6 when x = 2, the constant of variation is k =  = 3. Thus, the equation describing this direct variation is y = 3x.

Example 1: If y varies directly as x, and x = 12 when y = 9, what is the

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step-by-step explanation:

how am i supposed to answer

step-by-step explanation: