Question

Why does the Moon seem to follow us as we travel?

Answer 1

The Moon is Earth's only natural satellite. At about one-quarter the diameter of Earth (comparable to the width of Australia), it's the most important natural satellite within the system relative to the dimensions of its planet, the fifth largest satellite within the system overall, and is larger than any known dwarf planet.

Complete step by step solution:
The Moon appears to follow you because it's very distant, and objects like trees and houses that you simply travel by are very accessible by comparison. As you walk or drive along, things much closer to you, like trees and houses, appear to maneuver between you and therefore the Moon.
It doesn’t seem to maneuver in the least and appears to be following you. This suggests that the moon appears in basically an equivalent position with an equivalent angular size. During the course of a month, the Moon circles once round the Earth.
The moon appears to follow you because it's thus far away. When the car moves 100 feet forward, the relative angle between the direction of motion and therefore the car is actually an equivalent. This suggests that the moon appears in basically an equivalent position with an equivalent angular size.

Note:
The phases change because the moon revolves around Earth; different portions of the moon's sunlit surface are visible from Earth. Thus, from the attitude of Earth, the look of the moon changes from night to night. Not only does the apparent shape of the moon change, its position within the sky also changes.