Question

chaya has a map that shows the lengths of some hiking trails. the scale is shown in the drawing. what number can you multiply each distance in the scale drawing by to find the actual distance?

Explanation:

Step1: Set up the proportion

Let \(x\) be the multiplier. Given the scale \(3\ cm:1.5\ km\), we can write the proportion \(\frac{3}{1.5}=\frac{1}{x}\).

Step2: Solve the proportion

Cross - multiply: \(3x = 1.5\). Then divide both sides by \(3\): \(x=\frac{1.5}{3}=0.5\).

Answer:

\(0.5\)