Question

1. the scale on a map of british columbia is 1:5 000 000. this means that 1 cm on the map represents 5 000 000 cm actual distance. the map distance between kelowna and salmon arm is 2.1 cm. what is the actual distance between these towns?

Explanation:

Step1: Set up proportion

Let $x$ be the actual distance. The proportion is $\frac{1}{5000000}=\frac{2.1}{x}$.

Step2: Cross - multiply

$1\times x = 2.1\times5000000$.

Step3: Calculate actual distance

$x=2.1\times5000000 = 10500000$ cm. Since 1 km = 100000 cm, converting to km gives $\frac{10500000}{100000}=105$ km.

Answer:

105 km