Understand that a two-variable equation's graph is the set of all ordered-pair solutions.
Interpret an ordered-pair solution with units
Problem
\(C=6n\) gives total cost \(C\) in dollars for \(n\) sandwiches. For \((4,24)\), identify input variable/value/unit and output variable/value/unit.
Big Picture
What this problem is really about
The ordered pair has to be interpreted in the equation’s variable order, not by the sizes of its numbers. We’ll identify which variable is the input and which is the output, attach the contextual unit to each coordinate, and distinguish total cost from the per-item rate. Multiplying the input quantity by that rate will verify the paired situation.
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