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Elijah and Jonathan play on the same soccer team. They have played 3 of their 15,
games. They each create a model to represent x, the number of games their team has left
to play. Their models are shown below. Explain whether each model is correct.

Who is correct

Elijah and Jonathan play on the same soccer team They have played 3 of their 15 games They each create a model to represent x the number of games their team has class=

Respuesta :

elcharly64

Answer:

Only Elijah's model is correct

Step-by-step explanation:

The data given in the question tells us they have 12 games left on their soccer team. Each one of them tried to simulate the fact by creating some model which look like a balance between quantities.

Elijah placed 3 cubes of value 1 and a cube of value x on one side of a balance. On the other side, he placed 15 cubes of value 1. He was obviously modeling the fact that 15 cubes (games due to play in our case) should be equal to 3 cubes (games already played) plus the x numbers left to play

This model if perfect, since the only way to equilibrate the balance is setting x to 12, the games left to play

Jonathan used a table with 3 x's in a row and a 15 in the second row, trying to model the same situation. To our interpretation, this table doesn't show the number of games left to play. If we equate 3x = 15, we get x=5 which has nothing to do with the situation explained in the question, so this model is not correct.

Elijah's model is correct .

Elijah and Jonathan play on the same soccer team. They have played 3 of their 15 games.  

x is the number of games that are left to be played.

Elijah and Jonathan have 12 games left on their soccer team.

Elijah  and Jonathan  both try to simulate the situation which are shown in figure.

Creating some model which look like a balance between quantities.

Elijah placed 3 cubes of value 1 and a cube of value x on one side of a balance.

On the other side Elijah placed 15 cubes.

The value of each cube = 1

so  15 [tex]\times 1 = 15[/tex] which are equal to total number of games.  

Since 3 games are already played so on the left hand side

3 boxes of magnitude 1 each are placed.

[tex]x[/tex] is the number of  games that are left.

Jonathan uses a table  with  three x values  in a row and a 15 is the total number of games to be played are represented in the second row trying to model the same situation.

This table doesn't show the number of games left to play.

Which are 12 in number

According to Jonathan's model

[tex]3x = 15 \\x =5[/tex]

This does not model the number of games left which are 12 in number and hence

Jonathan's model  does not explains the situation

For more information please refer to the link below

https://brainly.com/question/24197246

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