To determine which equation Sheldon might have used based on the number line model, we need to interpret the descriptions of the responses.
Let's break down each response:
A) \( -5 - 3 = -8 \)
This states that starting at -5 and going left 3 units would end up at -8, which is correct.
B) \( -5 + 8 = 3 \)
This states that starting at -5 and going right 8 units would end up at 3, which is also correct.
C) \( 5 + (-8) = -3 \)
This states that starting at 5 and going left 8 units would end up at -3, which is incorrect (it would actually end at -3).
D) \( 5 + (-3) = 2 \)
This states that starting at 5 and going left 3 units would end up at 2, which is also correct.
From these explanations, the equations that could be valid based on the number line findings are A, B, and D. The answer will depend on the particulars of Sheldon’s number line model. Based on traditional interpretations:
If we are to select one equation, choices A, B, and D can be considered possible equations based on addition and subtraction along a number line.