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Jen says the equation 2y - 4x = 0 does not represent a direct variation because it is not in the form y = kx. How would you explain to Jen why she is incorrect?

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Final answer:

Jen is incorrect in saying that the equation 2y - 4x = 0 does not represent a direct variation because it is not in the form y = kx. The equation can be rearranged to y = 2x, which shows a linear relationship between y and x with a constant ratio of 2, representing a direct variation.

Step-by-step explanation:

Jen is incorrect in saying that the equation 2y - 4x = 0 does not represent a direct variation because it is not in the form y = kx.

In order to determine whether an equation represents a direct variation, we check if it can be written in the form y = kx, where k is a constant. However, we can also determine if an equation represents a direct variation by analyzing the relationship between the variables.

In the equation 2y - 4x = 0, we can rearrange it to y = 2x. This equation shows a linear relationship between y and x, where y is directly proportional to x with a constant ratio of 2. Therefore, the equation does represent a direct variation.

User Khyati Modi
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