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Using the data shown on the graph, which statements are correct?
A The ratio of x y is 6 5.
B The ratio of y x is consistent.
C The graph represents a proportional relationship.
D The graph does not represent a proportional relationship.
E The graph of a proportional relationship must past through (0, 0).
To determine which statements are correct based on the graph, let’s analyze each statement:
A. The ratio of x to y is 6:5 – This would be correct if you can identify two points on the graph where the ratio of x to y matches this value.
B. The ratio of y to x is consistent – This implies that as y increases, x would also increase at a constant rate, which depends on the graph.
C. The graph represents a proportional relationship – A graph represents a proportional relationship if it is a straight line that passes through the origin (0, 0).
D. The graph does not represent a proportional relationship – This would be correct if the graph does not pass through the origin or is not linear.
E. The graph of a proportional relationship must pass through (0, 0) – This statement is true, as a proportional relationship always starts from the origin.
So, check the graph against these points. If it passes through the origin and shows a constant ratio, then C and E could be correct. Otherwise, consider D and possibly others.
To ensure you have the best answer, take a close look at the details of the graph. Good luck!