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? 0.5 what is the actual length of the waterfall trail? km waterfall parking ranger tower picnic area 6 cm 9 cm 3 cm 3 cm : 1.5 km

Explanation:

Step1: Find the multiplier

Given the scale \(3\ cm:1.5\ km\). To find the multiplier, divide the actual distance by the map - distance. Let the multiplier be \(k\).

$$k=\frac{1.5}{3}=0.5$$

Step2: Calculate the actual length of the waterfall trail

The length of the waterfall trail on the map is \(6\ cm\).
Since the multiplier \(k = 0.5\) (where the unit of \(k\) is \(\frac{km}{cm}\)), and the formula for the actual distance \(d_{actual}=k\times d_{map}\)

$$d_{actual}=0.5\times6 = 3$$

Answer:

The number to multiply is \(0.5\) and the actual length of the waterfall trail is \(3\ km\)