Compute and interpret unit rates, including rates with fractional or decimal quantities.
Interpret a contextual unit rate
Problem
A machine fills \(18~\text{bottles}\) in \(6~\text{minutes}\). Find the unit rate in bottles per minute.
Big Picture
What this problem is really about
The phrase bottles per minute fixes both the quotient order and the target of one minute. We’ll divide the bottle total by the elapsed minutes, carry the units through the quotient, and interpret the result as the machine’s output during each minute. Multiplying that rate by six minutes should reconstruct all eighteen bottles.
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