2 On the Line Copyright © 2026 Pearson Education, Inc. 5. Which location, the midpoint or the weighted average, better reflects where most visitors are coming from? Explain your reasoning, using a clear and appropriate tone. 6. Suppose that the park expands and now Entrance B is used twice as often as Entrance A. a. Calculate the new weighted average of the coordinates using the ratio of 1 : 2. b. Is this location closer to Entrance A or B? Use the distance formula again to justify your answer. 7. If the number of people using Entrance A doubles and the number of people using Entrance B stays the same, the ratio is A : B = 4 : 1. a. Calculate the new weighted average of the coordinates. b. Without graphing, predict whether this location is closer to Entrance A or Entrance B. c. Justify whether this location is still practical for visitors using Entrance B. 8. In your opinion, which location is more efficient for the kiosk, and why? Support your opinion using math, reasoning, and appropriate language.
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