Workers, Days, and Work Ratio Interactive Model

Workers, Days, and Work Ratio Interactive Model
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2020-04-22 13:59
① This GeoGebra example demonstrates the proportional relationship between the number of workers (men and women) and the number of days required to complete a task, allowing users to explore how changes in workforce affect total work output. ② Core mathematical concepts include ratio and proportion, linear relationships, arithmetic operations, and basic linear programming ideas, where total work equals workers multiplied by days. ③ Construction highlights: multiple text objects (text1 to text12) provide labels and explanations; variables such as man, Women, Day_m, Day_w, a, b, c, d represent worker counts and days; objects like JPW, SMW, SWWP, RWW compute combined work rates or ratios; sliders or input fields likely enable dynamic adjustment, with results displayed as text and numeric values. ④ Suitable for middle school to high school students learning ratios, word problems, or introductory linear programming, and useful for teachers demonstrating work-allocation problems in class.

GeoGebra Commands & Parameters

  1. Numeric man(47.0)
  2. Numeric Women(113.0)
  3. Numeric Day_m(25.0)
  4. Numeric Day_w(62.0)
  5. Numeric man_J(38.0)
  6. Numeric Women_J(86.0)
  7. Boolean a(true)
  8. Boolean b(true)
  9. Numeric Day_J(40.0)
  10. Numeric men_A(40.0)
  11. Numeric Day_A(140.0)
  12. Boolean c(false)
  13. 1 / (((man_J + Women_J) * Day_J))
  14. 1 / ((men_A * Day_A))
  15. JPW - SMW
  16. ((JPW - SMW) * (Day_A + 30))
  17. 1 / (RWW)
  18. Boolean d(false)