Answer :
The mentioned relationship is an additive relationship as the total cost is not proportional to the number of games played.
To represent the relationship between the total cost, y, and the number of games played, x, we can create a table, graph, and equation as follows:
Number of games played (x) Total cost (y)
0 10
1 11
2 12
3 13
4 14
5 15
The equation that represents this relationship is: y = 1x + 10
Where 10 is the fixed cost to enter the arcade and 1 is the cost per game played.
To represent this relationship graphically, we can plot the points from the table on a graph. Refer to the image attached with this answer.
This graph shows that the relationship between the total cost and the number of games played is a straight line with a positive slope.
This relationship is an additive relationship because the total cost is not proportional to the number of games played. If the relationship was proportional, the cost per game played would remain constant regardless of the number of games played. In this case, the cost per game played is always $1, but the total cost increases by $1 for each additional game played.
Learn more about Graphical Representation of Equalities :
https://brainly.com/question/15721894
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The complete question is :
Sam went to play video games in Video Game Central arcade. Video Game Central charges $10 to get into the arcade and then $1 per game played. Represent the relationship between total cost, y, and number of games played, x using a table, graph and equation. Is this relationship a proportional or additive relationship? Explain.
