Relate a function's domain to its graph and to the real-world quantities it describes.
Correct a domain error in a model statement
Problem
A student wrote this model statement with a domain error: \(C(n)=8n\) for any real \(n\) tickets. Correct the domain.
Big Picture
What this problem is really about
Correcting a model’s domain starts with what the input measures, not just what the formula can calculate. We’ll test the original statement with fractional and negative ticket counts, then decide whether zero remains meaningful. Naming the surviving pattern precisely repairs both errors at once: the domain must express discreteness and the appropriate sign restriction.
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