Final answer:
The 10-gauge wire has the lowest resistance per 1000 feet due to its thicker cross-sectional area compared to the 16-gauge and 18-gauge wires.
Step-by-step explanation:
When comparing wire gauges, remember that lower gauge numbers correspond to thicker wires, which generally means lower resistance because the cross-sectional area is larger. According to standard American Wire Gauge (AWG), a 10-gauge wire would have a lower resistance compared to 16-gauge and 18-gauge wires over the same distance. Therefore, the 10-gauge wire has the lowest resistance per 1000 feet.