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**Proportional and Non-Proportional Relationships in Tables**

Lesson 4

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1 2 3 4 5 6 2.5 5 7.5 10 12.5 15 1 2 3 4 5 6 4 6 8 10 12 14

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**a. For which team is distance proportional to time?**

Team A because the ratio between distance and time is the same for the entire table. b. Explain how you know distance for the other team is not proportional to time. The ratio of between distance and time is not the same for the whole table. c. If the race were 2.5 miles long, which team would win? Explain. Team B would win because they can cover 2.5 miles in less than one hour.

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**If the race were 3.5 miles long, which team would win?**

Team B would win because they can cover 3.5 miles in less than one hour. If the race were 4.5 miles long, which team would win? Team B would win. It would take Team A 1.8 hours to go 4.5 miles. It would take Team B 1.25 hours to go 4.5 miles. d. For what length race would it be better to be on Team B than Team A? If the race were less than 10 miles, Team B is faster because more distance is covered.

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**e. If the members on the team ran for 10 hours, how far would each member run on each team?**

Team A = 25 miles Team B = 22 miles f. Will there always be a winning team, no matter what the length of the course? No, there would be a tie at 4 hours. g. If the race were 12 miles long, which team should you choose to be on if you wish to win? Team A because they would finish in 4.8 hours compared to Team B who would finish in 5 hours. h. How much sooner would you finish on that teac? 12 minutes. You multiply (0.2 or )times 60 minutes which equals 12 minutes.

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