To determine the length on the map that corresponds to an actual distance of 70 miles using the scale of 1/2 inch = 20 miles, you can use the following steps:
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Convert the actual distance to the scale distance using the ratio.
We know that 1/2 inch on the map represents 20 miles.
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Calculate how many 20-mile segments are in 70 miles.
\[ \text{Number of segments} = \frac{70 \text{ miles}}{20 \text{ miles/segment}} = 3.5 \text{ segments} \]
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Calculate the length on the map.
Each segment corresponds to 1/2 inch on the map, so multiply the number of segments by the length per segment:
\[ \text{Length on map} = 3.5 \times \frac{1}{2} \text{ inch} = 3.5 \times 0.5 \text{ inch} = 1.75 \text{ inches} \]
Therefore, the length on the map that represents an actual distance of 70 miles will be 1.75 inches.
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