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Which of the following equations represents a direct variation?

a. y = x - 1
b. y = x − 3
c. y = x + 5
d. y = 2x

1 Answer

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Final answer:

The equation y = 2x represents a direct variation.

Step-by-step explanation:

A direct variation is a relationship between two variables where one variable is a constant multiple of the other. In other words, as one variable increases or decreases, the other variable also increases or decreases proportionally. The equation that represents a direct variation is of the form y = kx, where k is the constant of variation.

Out of the given options, the equation y = 2x represents a direct variation because it follows the form y = kx, where k = 2.

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