Interpret rate of change informally as how much one quantity changes for each change in another.
Choose a smart way to compare rates of change
Problem
Table A changes by \(+6\) in \(y\) for each \(+2\) in \(x\). Table B changes by \(+6\) in \(y\) for each \(+3\) in \(x\). Calculate \(\text{both}~\text{unit}~\text{rates}\) and report the table with the greater rate.
Big Picture
What this problem is really about
Both tables show the same y-change, but that alone does not make their rates equal because the x-intervals differ. Divide each y-change by its own x-change to put both relationships in y-units per one x-unit, then compare those unit rates. A common denominator of one input unit makes the comparison meaningful.
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