Question

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

Ask by Hamilton Deleon. in the United States
Jan 23,2025

Real Tutor Solution

Tutor-Verified Answer

Answer

1 inch : 20 miles

Solution

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

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Beyond the Answer

To find the scale of the map, we can set it up with a simple proportion. If 5 inches equals 100 miles, then dividing both sides by 5 gives us 1 inch equals 20 miles. So, the scale of the map is 1 inch: 20 miles. Now you can impress friends with your map skills! Just remember, when you're planning a road trip and using a map, always convert inches to miles lest you end up on a wild goose chase across the countryside!

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