Create and solve a one-variable linear equation from a short context.
Choose the correct equation branch before solving
Problem
Shipping costs \(\$5\) for packages up to \(2~\text{pounds}\) and \(\$3~\text{per}~\text{pound}\) for packages over \(2~\text{pounds}\). A package weighs \(4~\text{pounds}\). Identify the applicable pricing branch and calculate the shipping cost.
Big Picture
What this problem is really about
This problem is decided in two stages: first determine which pricing condition the package satisfies, then use only that branch. We’ll compare the actual weight with the cutoff, keep the matching rate rule, and apply that rate to the full package weight. The cutoff selects the rule; it is not the weight used in the cost calculation.
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