Problem

For the model \(R(b)~=~5b\), where \(b\) is the number of bracelets sold at a booth with \(60~\text{bracelets}\) available, compare the mathematical domain and the contextual domain.

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The mathematical domain and the contextual domain are both the integers from 0 to 60, because b stands for bracelets sold and the model should only use values that make sense at the booth.

The mathematical domain and the contextual domain are both all real numbers, since R(b)=5b is a linear rule and linear functions accept every real input.

The mathematical domain is the integers from 0 to 60 because the booth has 60 bracelets, but the contextual domain is all real numbers because the expression 5b can be evaluated for any input.

The mathematical domain is all real numbers because the rule R(b)=5b has no algebraic restriction, but the contextual domain is the integers from 0 to 60 because bracelet sales must be whole numbers and cannot exceed the 60 bracelets available.

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For the model \(R(b)~=~5b\), where \(b\) is the number of bracelets sold at a booth with \(60~\text{bracelets}\) available, compare the mathematical domain and the contextual domain.

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