Apply density concepts based on area and volume in modeling situations.
Find the area or volume represented by a quantity and a density
Problem
If the quantity is \(900~\text{people}\) and the density is \(300~\text{people}~\text{per}~\text{square}~\text{mile}\), what area does that represent?
Big Picture
What this problem is really about
When the total quantity and its per-area density are known, solve the density relationship for the missing area. Divide the total by the rate, treating the compound unit as a fraction; the quantity units cancel and the denominator's square unit moves into the result. Multiplying the recovered area by the density should reproduce the original total.
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