Question

The scale of a map is 1 inch:60 miles. If the actual distance between two cities is 390 miles, how far apart will they be on the map?

A) 6.5 inches
B) 7 inches
C) 7.5 inches
D) 8 inches

Answer 1

To find out the map distance for the cities, a proportion is set up using the scale 1 inch to 60 miles. By solving this proportion with the actual distance of 390 miles, it's determined that the cities will be 6.5 inches apart on the map.

Step-by-step explanation:

To find out how far apart two cities will be on a map with a scale of 1 inch to 60 miles, we need to set up a proportion that can help us calculate the map distance based on the actual distance. If the actual distance between two cities is 390 miles, we can set up the proportion as follows:

1 inch / 60 miles = x inches / 390 miles

Now, we solve for x, which represents the map distance. Multiplying both sides of the equation by 390 miles, we get:

390 inches / 60 = x inches

To simplify, divide 390 by 60:

x = 6.5 inches

Therefore, the cities will be 6.5 inches apart on the map.