Question

On a map, 2.5 inches represents 52 miles. What is the actual distance represented by 5 inches on the map?2.5/52=5/x

Answer 1

The scale provided is, 2.5 inches to represent 52 miles.

Therefore;

`\begin{gathered} 1\text{inch}=(52)/(2.5)\text{miles} \\ 5\text{inches}=(52)/(2.5)*5\text{ miles} \\ 5\text{inches}=104\text{miles} \end{gathered}`

The rate of conversion is determined as 1 inch to represent 52 miles divided by 2.5 and that gives us 20.8 miles (for every inch on the map). Next, we simply multiply this rate by 5, when given a distance of 5 inches on the map