Question

On a map, 2 inches represents an actual distance of 28 miles. If the actual distance between two cities is 322 miles, how many inches apart will the cities be on the map?

Answer 1

First, we need to set up a proportion to find the scale factor:

2 inches = 28 miles
x inches = 322 miles

Cross multiply to solve for x:

2 * 322 = 28 * x
644 = 28x

Now, divide by 28 to solve for x:

x = 644 / 28
x = 23

Therefore, the cities will be 23 inches apart on the map.