Combine standard functions using arithmetic operations to build models.
Form a quotient function and state restrictions
Problem
Given \(C(n)~=~120~+~6n\), form \(C(n)/n\) for the average cost per item and state its contextual restriction.
Big Picture
What this problem is really about
Average cost per item is a quotient of the complete total cost by the item count. We’ll substitute the full cost rule into the numerator, divide each term by the common denominator, and track the resulting per-item unit. Then we’ll combine the algebraic zero-denominator restriction with the contextual requirement that an item count be a positive whole number.
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