To find the length of a line segment that represents 240 miles based on the scale where 3 inches represents 90 miles, we first determine the scale factor.
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Determine the number of miles represented by 1 inch: \[ \text{Miles per inch} = \frac{90 \text{ miles}}{3 \text{ inches}} = 30 \text{ miles per inch} \]
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Now, to find how many inches represent 240 miles, we divide the total miles by the number of miles per inch: \[ \text{Inches} = \frac{240 \text{ miles}}{30 \text{ miles per inch}} = 8 \text{ inches} \]
So, a line segment that represents 240 miles would be 8 inches long.
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