10. On a map, 5 inches represents 100 miles. What is the scale of the map? 1 inch: _ miles.

To determine the scale of the map, you can set up a proportion based on the information provided: **Given:** - 5 inches on the map represent 100 miles in reality. **Find:** - How many miles does 1 inch represent? **Solution:** 1. **Set Up the Proportion:** \[ \frac{5 \text{ inches}}{100 \text{ miles}} = \frac{1 \text{ inch}}{x \text{ miles}} \] 2. **Solve for \( x \):** \[ x = \frac{100 \text{ miles}}{5} = 20 \text{ miles} \] **Conclusion:** The scale of the map is **1 inch : 20 miles**. --- **Answer:** 1 inch : 20 miles