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Two cars leave from the same city at the same time and drive in the same direction. The table shows the distances traveled by each car. ​ ​ ​Determine whether the relationship between the number of hours traveled and the number of miles traveled is proportional for each car. Use the table to explain how you determined your answers. Describe how the graph of the distance traveled by each car would support your answers.

User Prabagaran
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Answer: The graph of the distance traveled by each car would be a straight line passing through the origin if the relationship between the number of hours traveled and the number of miles traveled is proportional. For both cars, we can see from the table that the distance traveled is directly proportional to the number of hours traveled, so their graphs would be straight lines passing through the origin.

Step-by-step explanation: To determine if the relationship between the number of hours traveled and the number of miles traveled is proportional for each car, we can check if the ratios of distance to time are the same for each car.

For Car A, we can see that the ratio of distance to time is 40 miles per hour for every hour traveled. Similarly, for Car B, the ratio of distance to time is 60 miles per hour for every hour traveled.

Since the ratios are different for each car, we can conclude that the relationship between the number of hours traveled and the number of miles traveled is not proportional for each car.

Graphically, we can represent the data in a scatter plot, where the x-axis represents the number of hours traveled and the y-axis represents the number of miles traveled. The plot for Car A would have points that fall on a line with a slope of 40, while the plot for Car B would have points that fall on a line with a slope of 60. These lines would have different slopes, indicating that the relationship between distance and time is not proportional for each car.

User Jigar Surana
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