Map Reading. A map is drawn so that every 3.5 inches on the map corresponds to an actual distance of 100 miles. If the actual distance between the two cities is 460 miles, how far apart are they on the map?The two cities are inches apart on the map.

To solve this problem, we need to set up a proportion to find out the distance between the two cities on the map.

Step 1: Set up the proportion.

We know that 3.5 inches on the map corresponds to 100 miles in real life. So, we can write this relationship as 3.5/100.

We also know that the actual distance between the two cities is 460 miles, but we don't know the corresponding distance on the map. We can represent this unknown distance as x. So, the relationship between the unknown distance and the actual distance is x/460.

Step 2: Solve the proportion.

Now, we can set the two ratios equal to each other and solve for x:

3.5/100 = x/460

To solve for x, we can cross-multiply:

3.5 * 460 = 100 * x

1610 = 100x

Then, divide both sides by 100 to solve for x:

x = 1610 / 100

x = 16.1

So, the two cities are 16.1 inches apart on the map.

To solve this problem, we need to set up a proportion.

We know that 3.5 inches on the map corresponds to 100 miles in real life. We also know that the actual distance between the two cities is 460 miles. We can set up the proportion as follows:

3.5 inches / 100 miles = X inches / 460 miles

To solve for X (the distance between the two cities on the map), we can cross-multiply:

3.5 inches * 460 miles = 100 miles * X inches

This simplifies to:

1610 = 100X

To solve for X, we divide both sides by 100:

X = 1610 / 100

X = 16.1 inches

So, the two cities are 16.1 inches apart on the map.