If 2 inches on a map represents 125 miles then how far apart are 2 cities that are 5/8 inch apart.
To find out how far apart the two cities are, we can set up a proportion using the given information.
First, we know that 2 inches on the map represent 125 miles. Let's call this our "reference ratio." We can express this as:
2 inches / 125 miles
Now, we need to find out how many miles are represented by 5/8 inch on the map. To do this, we will set up a proportion:
(5/8) inch / x miles
Here, "x" represents the unknown distance in miles between the two cities.
To solve the proportion, we can cross-multiply:
(2 inches)(x miles) = (125 miles)(5/8) inch
2x = 625/8
To isolate the variable "x," we can divide both sides of the equation by 2:
x = (625/8) รท 2
x = 625/16
Therefore, the distance between the two cities that are 5/8 inch apart on the map is 39.0625 miles.
Cross multiply and solve for x.
2/125 = (5/8)/x