I need assistance. Elijah and Jonathan play on the same soccer team. They have played 3 out of their 15 games. They each create a model to represent the number of games their team has left to play, denoted as €. Their models are shown below. Please explain whether each model is correct. Elijah’s Model: Jonathan’s Model: 15 Click the arrows to choose an answer from each menu: Elijah’s model represents the equation: Choose Elijah’s model: Choose Jonathan’s model represents the equation: Choose Jonathan’s model: Choose My Progress: Copyright © 2021 by Curriculum Associates. This material may not be reproduced or shared in any manner without the express written consent of Curriculum Associates.
The Correct Answer and Explanation is:
✅ Correct Answers:
- Elijah’s model represents the equation: x + 3 = 15. Elijah’s model: Is correct.
- Jonathan’s model represents the equation: 3x = 15. Jonathan’s model: Is not correct.
Explanation:
In the given scenario, Elijah and Jonathan are modeling how many games are left in their soccer season. Since they’ve played 3 out of a total of 15 games, they have 12 games left. This means that the variable xxx, which stands for the number of games left, should equal 12.
Elijah’s model uses a balanced scale to show a clear algebraic relationship. On one side of the scale, there’s an “x” block and three individual blocks labeled “1,” representing the 3 games already played. On the other side, there are fifteen 1-unit blocks, representing the total number of games in the season. This setup reflects the equation x+3=15x + 3 = 15x+3=15. Solving for xxx, we subtract 3 from both sides and find x=12x = 12x=12, which is the correct number of games left. Therefore, Elijah’s model accurately and correctly represents the situation.
Jonathan’s model, however, is a bar model that shows three equal parts labeled “x” that together add up to 15. This model represents the equation 3x=153x = 153x=15. Solving for xxx gives 5, which implies that only 5 games are left — which is incorrect. His model incorrectly interprets the context, treating the 15 games as being split into three equal parts, rather than representing 3 games played and the rest remaining. Thus, Jonathan’s model does not correctly represent the problem.
Elijah’s model is correct; Jonathan’s model is not.
