Problem

Average poster cost is \(C_\text{avg}(x)~=~(180~+~12x)/x\) dollars per poster, where \(x\) is the number of posters. Interpret the components and units, simplify the formula, and state the algebraic and contextual domains.

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Component 180: setup cost, dollars. Component 12: variable rate, dollars per poster. Simplification: 180/x+12. Algebraic domain: x≠0. Context: positive whole-number x.

Component 180: setup cost, dollars. Component 12: variable rate, dollars per poster. Simplification: 180/x+12. Algebraic domain: x≠0. Context: all real x.

Component 180: setup cost, dollars. Component 12: variable rate, dollars rather than dollars per poster. Simplification: 180/x+12. Algebraic domain: x≠0. Context: positive whole-number x.

Component 180: setup cost, dollars. Component 12x: average variable cost, dollars per poster. Simplification: 180+12x. Algebraic domain: none. Context: positive whole-number x.

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Average poster cost is \(C_\text{avg}(x)~=~(180~+~12x)/x\) dollars per poster, where \(x\) is the number of posters. Interpret the components and units, simplify the formula, and state the algebraic and contextual domains.

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