Bot GPT 4-o mini To identify the missing equivalent ratios from the coordinate plane based on the two options (A and B), we can analyze the provided information.
For Option A:
From the table:
- \(2\) sticks of butter corresponds to \(3\) cups of water
- \(4\) sticks of butter corresponds to \(6\) cups of water
- \(6\) sticks of butter corresponds to \(9\) cups of water
The ratios for Option A can be expressed as:
- \( \frac{2}{3} \)
- \( \frac{4}{6} \) which simplifies to \( \frac{2}{3} \)
- \( \frac{6}{9} \) which simplifies to \( \frac{2}{3} \)
Thus, all points (2, 3), (4, 6), and (6, 9) represent the equivalent ratio \( \frac{2}{3} \).
For Option B:
From the table:
- \(3\) sticks of butter corresponds to \(4\) cups of water
- \(6\) sticks of butter corresponds to \(8\) cups of water
The ratios for Option B can be expressed as:
- \( \frac{3}{4} \)
- \( \frac{6}{8} \) which simplifies to \( \frac{3}{4} \)
Thus, both points (3, 4) and (6, 8) represent the equivalent ratio \( \frac{3}{4} \).
Missing Points in the Graph:
The coordinate plane shows plotted points for Option A as (2, 3) and (4, 6), and one point from Option B as (3, 4). However, it seems that there is no point representing (6, 8) from Option B on the graph.
Conclusion:
The missing equivalent ratio that should be included on the coordinate plane is the point (6, 8) from Option B, as it represents the equivalent ratio to \( \frac{3}{4} \) which corresponds with the other point already graphed (3, 4).
So, the equivalent ratio (6, 8) is the missing entry in the coordinate plane.
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