https://file.aiquickdraw.com/mathbot/file/1727379163252i18wjlis.jpg

The problem on the image gives us the following information:

- The scale of the map is 1 cm : 7 miles.
- The actual distance between two cities is 84 miles.

We are asked to determine the distance between these two cities on the map, in centimeters.

To solve this, use the given scale. The scale tells us that 1 cm on the map corresponds to 7 miles in reality. So, we can set up a proportion:

\[
\frac{1 \, \text{cm}}{7 \, \text{miles}} = \frac{x \, \text{cm}}{84 \, \text{miles}}
\]

Now, solve for \( x \):

\[
x = \frac{84 \, \text{miles} \times 1 \, \text{cm}}{7 \, \text{miles}} = \frac{84}{7} = 12 \, \text{cm}
\]

Thus, the distance between the two cities on the map is **12 centimeters**.

Would you like more details, or do you have any questions?

Here are 5 related questions you can explore:

1. If the actual distance was 105 miles, what would be the distance on the map?
2. How would you convert a scale of 1 cm : 5 miles to a scale in kilometers?
3. If the distance on the map was 6 cm, what would be the actual distance using this scale?
4. How does changing the scale (e.g., 1 cm : 10 miles) affect the map size for a fixed actual distance?
5. What is the significance of the map scale in real-world applications like navigation?

**Tip**: Always check if the units are consistent (e.g., miles to miles) when working with scale problems.

A map has a scale of 1 cm : 7 miles. The actual distance between two cities is 84 miles. What is the distance between the two cities on the map in centimeters?

Solve a map scale problem where the map has a scale of 1 cm : 7 miles and the actual distance between two cities is 84 miles. Learn how to calculate the distance on the map in centimeters using proportions and scale factor. Suitable for Grades 6-8.

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