1. **State the problem:** Elijah and Jonathan each create a model to represent $x$, the number of games their team has left to play after playing 3 of 15 games.
2. **Elijah's model:** It shows $x$ on one side and blocks representing 3 games played plus 12 games left (total 15) on the other side. This visually represents the equation:
$$x = 15 - 3$$
which simplifies to:
$$x = 12$$
This means Elijah's model correctly represents the number of games left.
3. **Jonathan's model:** It shows three $x$'s on top and 15 below, suggesting the equation:
$$3x = 15$$
Solving for $x$:
$$\cancel{3}x = \cancel{3}5$$
$$x = 5$$
This implies $x = 5$, which does not correctly represent the number of games left since only 12 games remain.
4. **Conclusion:**
- Elijah's model correctly represents the equation $x = 15 - 3$ and correctly models the games left.
- Jonathan's model represents $3x = 15$ and incorrectly models the games left.
Therefore, Elijah's model is correct, Jonathan's model is incorrect.
Games Left 7Dbb1B
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