Question

Which point should be removed for the graph to represent a table of equivalent ratios?

Answer 1

Answer:  D.   (5,15)

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Explanation:

As the graph shows, three of the four points are on the same line. That line being y = 5x. This line has slope 5 and y intercept 0.

The point not fitting this pattern is the point (5,15), so that is the final answer.

For the other three points, note that the jump from x to y coordinate is "times 5". For example, y = 5x = 5*2 = 10 for point A. In contrast, point D has a jump of "times 3" when going from x to y.

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Alternatively, you can divide each y coordinate by its corresponding x coordinate.

• For choice A, we have y/x = 10/2 = 5
• Choice B has y/x = 15/3 = 5
• Choice C has y/x = 20/4 = 5

All results are 5 so far. Choice D doesn't follow the trend and instead has y/x = 15/5 = 3. This is another way to show that choice D is the answer.