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a. Select all the equations that represent a proportional relationship. b. Explain one way to decide if an...

a. Select all the equations that represent a proportional relationship.
b. Explain one way to decide if an equation represents a proportional relationship.

Answer

  1. a. The equations that represent a proportional relationship are: y = 12x and y = \( \frac{1}{2}x \). These equations are in the form y = kx, where k is a constant.

  2. b. An equation represents a proportional relationship if it can be written in the form y = kx, where k is a constant. This means that the graph of the equation is a straight line passing through the origin (0,0).

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