Solve equations of the form f(x)=g(x) approximately by finding graph/table intersections.
Interpret an intersection point in context
Problem
Two phone-plan graphs intersect at \((4,~50)\), where \(x\) is months and \(y\) is total cost in dollars. Interpret the input, shared output, and equality represented by the intersection.
Big Picture
What this problem is really about
The coordinates must be translated through the axes before the intersection can be interpreted. We’ll attach the input unit to the first coordinate and the output unit to the second, then use the fact that the point lies on both graphs. That shared point means both models produce the same contextual output at one common input, not merely two unrelated coordinate values.
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