Question

Elijah and Jonathan play on the same soccer team. They have played 3 of their 15games. They each create a model to represente, the number of games their team has leftto play. Their models are shown below. Explain whether each model is correct.Elijah's ModelJonathan's ModelxXx15Click the arrows to choose an answer from each menu.Elijah's model represents the equation Choose...Elijah's modelChooseChooseJonathan's modelJonathan's model represents the equationChoose...

Answer 1

Given:

a.) They have played 3 of their 15 games.

b.) They create a model to represent x, the number of games their team has left to play.

Let's first determine the value of x to be able to counter-check their models.

`\text{ x = Total number of games - Number of games played}`
`\text{ = 15 - 3}`
`\text{ x = 12}`

Therefore, for us to determine if their models are correct, x must be equal to 12.

a.) Analyzing Elijah's Model.

His model, in equation, appears to be:

`\text{ x + 3 = 15}`

Let's determine the value of x to check if his model is correct.

`\text{ x + 3 = 15}`
`\text{ x = 15 - 3}`
`\text{ x = 12}`

Therefore, Elijah's model is correct.

b.) Analyzing Jonathan's Model.

His model, in equation, appears to be:

`\text{ 3x = 15}`

Let's determine the value of x to check if his model is correct.

`\text{ 3x = 15}`
`\text{ }\frac{\text{3x}}{3}\text{ = }\frac{\text{15}}{3}`
`\text{ x = 5}`

Jonathan's model is incorrect. For it to be correct, he should have only an x and a 3 in the top bar for it to generate the equation below.

`\text{ x + 3 = 15}`
`\text{ x = 15 - 3 }\rightarrow\text{ x = 12}`