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Which of the following equations shows a proportional relationship?

A) y = x/3 + 1
B) y = 3x
C) y = 3/x
D) y = 3x - 1

User Farwayer
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1 Answer

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Final answer:

The equation that shows a proportional relationship is B) y = 3x, because it can be expressed in the form y = kx, which indicates a directly proportional relationship between y and x.

Step-by-step explanation:

The student asks which of the following equations shows a proportional relationship:

  • A) y = x/3 + 1
  • B) y = 3x
  • C) y = 3/x
  • D) y = 3x - 1

To determine which equation represents a proportional relationship, we need to look for an equation of the form y = kx, where k is the proportionality constant. Only option B fits this criterion, since it can be re-written as y = (3)x, which shows a directly proportional relationship between y and x with k being 3. A proportional relationship means that as x increases or decreases, y will do the same in a constant ratio, and the graph of the equation will be a straight line passing through the origin (0; 0).

User Pepacz
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