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Example 2: Bank Queue Waiting Time vs. Number of People Ahead

Example 2: Bank Queue Waiting Time vs. Number of People Ahead
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2012-07-10 21:39
FunctionSequenceParametric EquationSlider AnimationGraphing
In collections CCSS IP Math I Unit 4 Lesson 3
This example demonstrates the relationship between a customer's waiting time in a bank queue and the number of people ahead when they entered. It involves core math concepts such as function graphs, scatter plots, and possibly parametric curves. The construction uses GeoGebra commands like Polygon for shapes, Textfield for labels, Line and Segment for drawing, Sequence for generating points, and RotateText for annotations. Objects include points P_2 and P_1, sliders for direction control, and arrays A1-A7, B1-B7 for data. It is suitable for high school math or statistics classes to teach data analysis and graphing.

GeoGebra Commands & Parameters

  1. Polygon((11, y(Corner[2])), Corner[2], Corner[3], (11, y(Corner[4]))) → poly1, a, c, d, e
  2. Textfield(A1) → InA1
  3. Textfield(A2) → InA2
  4. Textfield(A3) → InA3
  5. Textfield(A4) → InA4
  6. Textfield(A5) → InA5
  7. Textfield(B1) → InB1
  8. Textfield(B2) → InB2
  9. Textfield(B3) → InB3
  10. Textfield(B4) → InB4
  11. Textfield(B5) → InB5
  12. Line(P_1, P_2) → g
  13. Textfield(A6) → InA6
  14. Textfield(A7) → InA7
  15. Textfield(B6) → InB6
  16. Textfield(B7) → InB7
  17. Sequence(Segment[(13.5, 13 + (6 * i)), (18, 13 + (6 * i))], i, 0, 7) → LinesHor
  18. Segment((13.5, 66), (18, 66)) → Top
  19. Segment((13.5, 13), (13.5, 66)) → Side1
  20. Segment((18, 13), (18, 66)) → Side2
  21. Segment((15.75, 13), (15.75, 66)) → MidLine
  22. Sequence(x = i, i, -2, 11) → Hash1
  23. Sequence(y = (5 * i), i, -2, 13) → Hash2
  24. RotateText("Minutes spent waiting", 90*°) → SideLegand2
  25. Polygon((11, -5), (-2, -5), Corner[1], (11, y(Corner[1]))) → poly2, f, h, i, j