Self Check: Lesson 7

If the scale on a map shows [tex]1 \text{ in.} = 100 \text{ mi.}[/tex], and you determine that two cities are [tex]5.5 \text{ in.}[/tex] apart, how many actual miles is this?

A. 55 mi
B. 5.5 mi
C. 550 mi



Answer :

To determine the actual distance between the two cities on the map, let's follow the steps below:

1. Identify the Scale:
- The scale is given as 1 inch on the map equals 100 miles in reality.

2. Measure the Distance on the Map:
- The mapped distance between the two cities is measured to be 5.5 inches.

3. Calculate the Actual Distance:
- To find the actual distance, you need to multiply the distance on the map by the scale factor.
- The calculation is as follows:
[tex]\[ \text{Actual Distance} = \text{Distance on Map} \times \text{Scale} \][/tex]
- Plugging in the values:
[tex]\[ \text{Actual Distance} = 5.5 \text{ inches} \times 100 \text{ miles/inch} \][/tex]

4. Perform the Multiplication:
- Now multiply 5.5 by 100:
[tex]\[ 5.5 \times 100 = 550 \][/tex]

5. Conclusion:
- The actual distance between the two cities is 550 miles.

Therefore, the correct answer is:
[tex]\[ \boxed{550 \text{ mi}} \][/tex]