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? waterfall 6 cm parking 9 cm picnic area 3 cm ranger tower 3 cm:1.5 km

Explanation:

Step1: Analyze the scale

The scale is $3\mathrm{cm}:1.5\mathrm{km}$. First, convert $1.5\mathrm{km}$ to $\mathrm{cm}$. Since $1\mathrm{km} = 100000\mathrm{cm}$, then $1.5\mathrm{km}=1.5\times100000 = 150000\mathrm{cm}$.

Step2: Find the conversion factor

The scale ratio is $\frac{150000}{3}=50000$. So we multiply each distance in the scale - drawing by 50000 to get the actual distance.

Answer:

50000