on a map, 1/4 of an inch between locations represents an actual distance of 2 miles between the location. what is the actual distance, in miles between two cities that are 3 3/4 inches apart on the map
3 3/4 = 15/4
so, 15*2mi = 30mi
To find the actual distance between two cities that are 3 3/4 inches apart on the map, we can use the given scale.
The scale is 1/4 inch represents 2 miles.
First, let's calculate the total distance in inches:
3 3/4 inches = 3 inches + 3/4 inch
= (3 * 4/4) inches + 3/4 inch
= 12/4 inches + 3/4 inch
= 15/4 inches
Now, we can use the scale to find the actual distance in miles:
1/4 inch represents 2 miles
So, 15/4 inches will represent x miles.
To find x, we can set up a proportion:
(1/4 inch) / (2 miles) = (15/4 inches) / x miles
Cross-multiplying, we get:
(1/4) * x miles = (2) * (15/4) miles
1 * x = 30/4
x = 30/4
Simplifying the fraction, we have:
x = 7.5 miles
Therefore, the actual distance between the two cities is 7.5 miles.