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Zorluk: OrtaScale Drawings and Map Measurements

A logistics coordinator is planning a delivery route using a regional highway map. The map's legend indicates a scale of 0.4 inches=15 miles0.4\text{ inches} = 15\text{ miles}. If the distance between the distribution center and the final delivery point measures 6.2 inches6.2\text{ inches} on the map, what is the actual driving distance between the two locations?

  1. A
    23.25 miles23.25\text{ miles}
  2. B
    37.2 miles37.2\text{ miles}
  3. C
    93 miles93\text{ miles}
  4. 232.5 miles232.5\text{ miles}Cevap

Cevap

The actual driving distance is 232.5 miles232.5\text{ miles}.
The correct actual distance is 232.5 miles232.5\text{ miles}. To solve this, find the number of 0.40.4-inch units in 6.2 inches6.2\text{ inches} by dividing: 6.2÷0.4=15.56.2 \div 0.4 = 15.5. Then, multiply this factor by the 15 miles15\text{ miles} that each unit represents: 15.5×15=232.5 miles15.5 \times 15 = 232.5\text{ miles}. Alternatively, finding the unit rate of 37.5 miles per inch37.5\text{ miles per inch} (15÷0.415 \div 0.4) and multiplying by 6.2 inches6.2\text{ inches} yields the same correct result.

Adım Adım Çözüm

1
Determine the unit scale (actual miles per inch on the map).
15÷0.4=37.5 miles per inch15 \div 0.4 = 37.5\text{ miles per inch}
This establishes a baseline multiplier to convert any map measurement into real-world miles.
2
Calculate the actual driving distance.
6.2×37.5=232.5 miles6.2 \times 37.5 = 232.5\text{ miles}
Scaling up the measured map distance by the unit rate yields the total actual distance.

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Scale Drawings and Map Measurements
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