Question

Julie is drawing a map of her hometown. She knows that City Hall is 3 miles down the street from the Fire Stations. If the scale for the map is 0.25 inches : 0.5 miles, how many inches should be between City Hall and the fire station on the map?

A. 1.5 inches
B. 0.75 inches
C. 1 inch
D. 3 inches

Answer 1

The scale on the map is 0.25 inches to 0.5 miles. City Hall is 3 miles from the fire station. Using a proportion, the distance on the map between the two points is calculated as 1.5 inches.

Step-by-step explanation:

Julie needs to find out the distance between City Hall and the fire station in inches on her map based on the given scale of 0.25 inches to 0.5 miles. In order to solve this, we can set up a proportion:

• (0.25 inches / 0.5 miles) = (x inches / 3 miles)

To solve for x, we can cross-multiply and divide:

• 0.5x = 0.25 * 3
• 0.5x = 0.75
• x = 0.75 / 0.5
• x = 1.5 inches

So, the distance between City Hall and the fire station on Julie's map should be 1.5 inches. This question was about using proportions to convert real distances into scale distances for a map.