A map scale shows that 1.3 inch on the map equals an actual distance on 3 miles. If a distance on the map is 3.4 inch, what is the actual distance in miles?
3.4 inches x (3 mil/1.3 inches) = ? miles.
the scale on a map shows that 5 centimeters on the map is actually a distance of 3.5 miles.How far apart are two towns if the distance between them on the map is 8 centimeters?
To find the actual distance in miles corresponding to a distance of 3.4 inches on the map, we can use proportions and cross-multiplication.
Given that 1.3 inches on the map represents 3 miles, we can set up the following proportion:
1.3 inches / 3 miles = 3.4 inches / x miles
To solve for x (the actual distance in miles), we can cross-multiply:
1.3 inches * x miles = 3.4 inches * 3 miles
x = (3.4 inches * 3 miles) / 1.3 inches
Now, let's calculate the final answer:
x = (3.4 * 3) / 1.3
x = 10.2 / 1.3
x ≈ 7.85 miles
Therefore, a distance of 3.4 inches on the map corresponds to an actual distance of approximately 7.85 miles.