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"This table represents a proportional relationship. Find the constant of proportionality."

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Final answer:

In a proportional relationship, the constant of proportionality represents the ratio between the two quantities. To find the constant of proportionality, you can choose any data point in the table and calculate the ratio between the values of y and x.

Step-by-step explanation:

In a proportional relationship, two values or quantities are directly proportional when a change in one leads to the same change in the other. This can be represented by the equation y = kx, where y and x are the variables and k is the constant of proportionality. The constant of proportionality represents the ratio between the two quantities.

To find the constant of proportionality, you can choose any data point in the table and calculate the ratio between the values of y and x. This ratio will be equal to the constant of proportionality. For example, if y = 4 when x = 2, the ratio is 4/2 = 2. Therefore, the constant of proportionality is 2.

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