To determine the correct coordinate pair to keep the ratio the same for Option B, we need to analyze the points already established.
The two points for Option B are:
- \( (5, 11) \)
- \( (10, 22) \)
Let's find the ratio of yellow paint to red paint in both points:
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For the point \( (5, 11) \): \[ \text{Ratio} = \frac{11}{5} \]
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For the point \( (10, 22) \): \[ \text{Ratio} = \frac{22}{10} = \frac{11}{5} \]
Both points have a consistent ratio of \( \frac{11}{5} \).
Now, to keep the same ratio, we can use the formula: \[ y = \frac{11}{5} \times x \]
Now we need to check the response options:
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\( (11, 23) \): \[ y = \frac{11}{5} \times 11 = \frac{121}{5} = 24.2 \] (Not \(23\))
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\( (11, 33) \): \[ y = \frac{11}{5} \times 11 = \frac{121}{5} = 24.2 \] (Not \(33\))
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\( (15, 23) \): \[ y = \frac{11}{5} \times 15 = \frac{165}{5} = 33 \] (This works for \(33\))
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\( (15, 33) \): \[ y = \frac{11}{5} \times 15 = \frac{165}{5} = 33 \] (This works for \(33\) as well)
Among the available options preserving the ratio of \( \frac{11}{5} \):
The correct answer is \( \text{(15, 33)} \).