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9. A map of the state of Texas shows the scale to be 1 inch \( =80 \) miles. The distance between Austin and Corpus Christi is 232 miles. How far apart will the two cities be on the map?

Ask by Washington Vargas. in the United States
Feb 27,2025

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On the map, Austin and Corpus Christi are 2.9 inches apart.

Solución

To solve this problem, note that the map's scale tells us that 1 inch represents 80 miles. To find the distance on the map, divide the actual distance by the scale factor. Distance on map = Actual distance ÷ Miles per inch   = 232 miles ÷ 80 miles per inch   = 2.9 inches Thus, on the map, Austin and Corpus Christi will be 2.9 inches apart.

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Bonus Knowledge

To find the distance between Austin and Corpus Christi on the map, you can use the scale provided. If 1 inch represents 80 miles, you can set up the equation: Distance on map (in inches) = Distance in miles / Scale. So, for 232 miles: \[ \text{Distance on map} = \frac{232 \text{ miles}}{80 \text{ miles/inch}} = 2.9 \text{ inches}. \] Thus, the two cities will be approximately 2.9 inches apart on the map. It’s a simple yet fascinating way to visualize the great distances involved—who knew that traveling through Texas could be represented in just a couple of inches?

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