Question

The scale on a map shows that 1.5 centimeters is equivalent to 40 miles. If the distance on the map between two cities is 8 centimeters, about how many miles apart are the cities? A. 178 miles

B. 213 miles
C. 224 miles D. 275 miles

Answer 1

To find the actual distance between two cities using a map scale, set up a proportion with the map distance and the scale ratio. Solve the proportion to find the actual distance, which in this case is approximately 213 miles.

Step-by-step explanation:

The question involves calculating the actual distance between two cities using the scale provided on a map. Since the scale on the map shows that 1.5 centimeters is equivalent to 40 miles, we can set up a proportion to find the actual distance between the cities. If the distance on the map is 8 centimeters, we use the following steps:

1. Write the scale as a ratio: (1.5 cm / 40 miles).
2. Set up the proportion with the unknown distance (x) in miles: (8 cm / x miles) = (1.5 cm / 40 miles).
3. Solve for x by cross-multiplying: (1.5 * x) = (8 * 40).
4. Calculate x: x = (8 * 40) / 1.5.
5. x = 320 / 1.5.
6. x = 213.33 miles, which we can round down to the nearest whole number if needed.

Therefore, the cities are approximately 213 miles apart, which corresponds to option B.