Interpret rate of change informally as how much one quantity changes for each change in another.
Match a story to the same rate in another form
Problem
Calculate the rate in each table and report the complete set of labels with a rate of \(6~\text{miles}~\text{per}~\text{hour}\).
A. Hours \(1,~2,~3\) map to miles \(8,~13,~18\). B. Hours \(1,~2,~3\) map to miles \(6,~12,~18\). C. Hours \(2,~4,~6\) map to miles \(10,~22,~34\). D. Hours \(1,~2,~3\) map to miles \(6,~10,~14\).
Raw distance changes cannot be compared until their matching time intervals are included. For each table, subtract two mile values and the corresponding hour values in the same order, divide miles by hours, and reduce to a one-hour rate. Normalizing every table prevents a two-hour change from being mistaken for a per-hour value.
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