Subjects algebra

Games Left 7Dbb1B

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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.