Question

what number can you multiply each length on the map by to find the actual distance? 4 in. : 2 mi

Explanation:

Step1: Identify the scale ratio

The scale is given as 4 in. : 2 mi. We need to find the multiplier to convert inches on the map to miles in actual - distance. First, simplify the ratio.
The ratio 4 in. : 2 mi can be written as a fraction $\frac{2\text{ mi}}{4\text{ in}}$.

Step2: Simplify the ratio

Simplify $\frac{2\text{ mi}}{4\text{ in}}=\frac{1\text{ mi}}{2\text{ in}}$. This means that for every 1 inch on the map, the actual distance is $\frac{1}{2}$ mile. So, to find the actual distance in miles when we have a length in inches on the map, we multiply the map - length (in inches) by $\frac{1}{2}$ mile per inch.

Answer:

$\frac{1}{2}$