MathPlotAI Logo MathPlotAI

Competing Phone Companies Task

Competing Phone Companies Task
Loading the math board and drawing, please wait…
2017-06-25 12:26
VectorFunctionCoordinate GeometryOptimizationGraphing
This example demonstrates the market share trends of two competing phone companies and linear regression analysis. Core math concepts include secant lines, linear regression, 2D vectors, random experiments, LCM and GCD. Construction highlights the use of GeoGebra commands like Textfield, LaTeX, TableText, Polygon, RotateText. Suitable for high school mathematics teaching, focusing on data analysis and geometric transformations.

GeoGebra Commands & Parameters

  1. Textfield(a) → InputBox6
  2. LaTeX(f_1, true, true) → text2
  3. LaTeX(f_2, true, true) → text3
  4. TableText({{A1, B1, C1}, {-3, f_1(-3), f_2(-3)}, {-2, f_1(-2), f_2(-2)}, {-1, f_1(-1), f_1(-1)}, {0, f_1(0), f_2(0)}, {1, f_1(1), f_2(1)}, {2, f_1(2), f_2(2)}, {3, f_1(3), f_2(3)}}, "|_r") → text4
  5. Textfield(n) → InputBox1
  6. Polygon({(0, 0), (0, 60), (500, 60), (500, 0)}) → poly1
  7. RotateText("monthly bill (dollars)", 90°) → text10
  8. LaTeX(f_2, true, true) → text11