Solve f(x)=g(x) approximately using intersections of polynomial, rational, radical, absolute-value, exponential, and logarithmic graphs.
Interpret a model intersection by shared input, output, units, and precision
Problem
\(\text{Two}\) cost models intersect at \((40,~1200)\), with \(x\) as quantity in units and \(y\) as cost in dollars. Interpret the shared input and output in context.
Big Picture
What this problem is really about
Interpret a model intersection by assigning meanings to the axes before using the coordinates. The horizontal coordinate is the shared input with its input unit, while the vertical coordinate is the common output with its output unit. Then express the key relationship: both models produce that same output at that same input, without claiming their rates or starting values are equal.
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