Create equations in two or more variables, graph them, and label axes/scales appropriately.
Graph a context equation
Problem
For \(C~=~5t~+~10\), \(t\) is the number of tickets and \(C\) is cost in dollars. The horizontal axis runs from \(0\) to \(6\) in \(6\) equal intervals, and the vertical axis runs from \(0\) to \(45\) in \(9\) equal intervals. Create a graph plan that labels and scales both axes and gives two points on the line.
Big Picture
What this problem is really about
A useful graph plan has to connect the equation’s variables to the context and to the fixed windows on both axes. We’ll place the input ticket count horizontally and the output cost vertically, calculate each interval size from its range, and substitute convenient input values to generate points. Those verified points determine the line and check its rate and starting cost.
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