Relate a function's domain to its graph and to the real-world quantities it describes.
Determine a contextual domain for counted inputs
Problem
For this situation, determine the contextual domain of \(C(n)=8n\): buying whole tickets with room capacity \(120\).
Big Picture
What this problem is really about
The formula tells us how an input produces a cost, but the situation tells us which inputs are possible. We’ll interpret the input as a ticket count, apply the capacity as an inclusive upper bound, and decide whether zero is meaningful. Finally, we’ll enforce discreteness, since a value can lie between the bounds and still fail to represent a whole ticket.
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