To determine which equation Sheldon might have modeled using a number line, we need to consider how each equation corresponds to movements or representations on a number line.
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Option A: -5 - 3 = -8
- This represents starting at -5, then moving left 3 units to -8.
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Option B: -5 + 8 = 3
- This represents starting at -5, then moving right 8 units to 3.
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Option C: 5 + (-8) = -3
- This represents starting at 5, then moving left 8 units to -3.
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Option D: 5 + (-3) = 2
- This represents starting at 5, then moving left 3 units to 2.
All of these could technically be represented on a number line, but we need to select the one that likely matches a common model Sheldon would use.
Since the question did not provide specific details about the number line model, you might want to consider the context (like whether Sheldon's model was based on addition or subtraction, or specific numbers).
If we were to choose just one:
- If the model represents a subtraction scenario with negative numbers and getting further negative, Option A (-5 - 3 = -8) makes the most conceptual sense as it clearly shows a negative number decrementing.
Thus, without additional context on the number line, option A could be a good candidate for Sheldon's equation.