To determine which point represents the additive rule \( x + 12 \), we need to evaluate the expression \( x + 12 \) for different values of \( x \) and check if the result matches the \( y \)-coordinate of the given points.
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For \( (12, 12) \): \[ x = 12 \Rightarrow y = 12 + 12 = 24 \quad \text{(not a match)} \]
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For \( (2, 10) \): \[ x = 2 \Rightarrow y = 2 + 12 = 14 \quad \text{(not a match)} \]
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For \( (1, 12) \): \[ x = 1 \Rightarrow y = 1 + 12 = 13 \quad \text{(not a match)} \]
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For \( (3, 15) \): \[ x = 3 \Rightarrow y = 3 + 12 = 15 \quad \text{(this is a match)} \]
Based on the evaluations, the point that represents the additive rule \( x + 12 \) is (3, 15).