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Cell Phone Plan Cost Model

Cell Phone Plan Cost Model
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2013-05-20 21:26
FunctionCoordinate GeometryInequalityGeometric ConstructionGraphing
This example demonstrates the graphical representation of a cell phone plan cost based on talk time using function graphs. Key math concepts include functions, inequalities, and coordinate geometry. Constructed with GeoGebra commands like Polygon, Line, Ray, Point, TableText, and objects such as instructionFraction and screenwidth for interface layout. Suitable for high school mathematics education, illustrating function graphs, linear programming, and real-world applications.

GeoGebra Commands & Parameters

  1. Polygon((instructionEdge, y(Corner[1])), (instructionEdge, y(Corner[3])), Corner[4], Corner[1]) → instruction, instructionRight, instructionTop, instructionLeft, instructionBottom
  2. Line((x(Corner[1]) + ((2 * indent) * screenwidth), 0), yAxis) → align1
  3. Line((x(Corner[1]) + ((3 * indent) * screenwidth), 0), yAxis) → align2
  4. Line((x(Corner[1]) + ((4 * indent) * screenwidth), 0), yAxis) → align3
  5. Ray((includedMinutes, 0), Vector[(1, 0)]) → trapPtD
  6. Point(trapPtD) → D
  7. TableText({{"\textit{y}= " + monthlyFee + "+" + minuteRate + " \textit{x} ", " \text{Original equation}"}, {"\textit{y}= " + monthlyFee + "+" + minuteRate + "(" + includedMinutes + ") ", " \text{Substitute }" + includedMinutes + " \text{ for }\textit{x}."}, {"\textit{y}=" + yattransition + " ", " "}}, "c") → text10a
  8. TableText({{"\textit{y}= " + monthlyFee + "+" + minuteRate + " \textit{x} ", " \text{Original equation}"}, {"\textit{y}= " + monthlyFee + "+" + minuteRate + "(" + xchoice + ") ", " \text{Substitute }" + xchoice + " \text{ for }\textit{x}."}, {"\textit{y}=" + ychoice + " ", " "}}, "c") → text16b

AI Drawing Prompt Reference

Create a graphical model of a cell phone plan cost based on talk time, featuring function graphs. Include a line for the plan cost and a ray for extra talk time, with points and segments marking key positions. Add text annotations explaining the equations and calculations, arranged clearly for high school mathematics education, demonstrating functions, inequalities, and coordinate geometry in real-world applications.
The prompt above was compiled from the original drawing commands and is for reference only.