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Answer:

Step-by-step explanation:

The straight line graph is the one that shows a direct, proportional relationship.  The graph goes through the origin (which is essential).

Here, we are required to determine which graph represents a proportional relationship.

  • The graph which represents a proportional relationship is Choice A.

A graph is said to represent a proportional relationship if it has a constant slope.

In essence, a graph is said to be proportional if an increase in the value of its independent variable, x results in a corresponding increase in the value of its dependent variable, y.

  • In the graphs above, the graph in choice A evidently satisfies this condition.

  • In the graphs above, the graph in choice A evidently satisfies this condition.The graph in choice B will have a slope, m = 0, because the y value changes without any change in the x value.

  • In the graphs above, the graph in choice A evidently satisfies this condition.The graph in choice B will have a slope, m = 0, because the y value changes without any change in the x value.The graph in choice C will have an undefined slope because changes in its x value does not result in a change in its y value.

  • In the graphs above, the graph in choice A evidently satisfies this condition.The graph in choice B will have a slope, m = 0, because the y value changes without any change in the x value.The graph in choice C will have an undefined slope because changes in its x value does not result in a change in its y value.The graph in choice D is a curve and does not have a constant slope, as it's slope changes at each point.

Ultimately, the graph which represents a proportional relationship is Choice A.

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Universidad de Mexico