To determine if the cost of renting video games from GAMES, INC. is proportional to the number of games rented, you can graph the data points on a coordinate plane, where the x-axis represents the number of games rented and the y-axis represents the total cost.
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Plot the Points: For each rental scenario provided in the table (number of games and corresponding cost), plot the points on the graph.
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Check for a Straight Line: If the points form a straight line that passes through the origin (0,0), then the cost is proportional to the number of games rented. This means that the ratio of cost to the number of games should be constant.
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Evaluate the Slope: Calculate the slope (cost per game) between the points. If the slope remains constant, it reinforces the idea of proportionality.
Conclusion: If the graph is a straight line through the origin, then the cost is proportional to the number of games rented. If it is not, then the cost is not proportional.