Answer
A total solar eclipse can not occur every time the moon is between the Earth and the sun.
Work Step by Step
According to part (a), the maximum distance the moon can be from the Earth while a total solar eclipse can still occur is 236,000 miles.
Since $251,978~mi \gt 236,000~mi,$ there are times when the moon's distance from the Earth is too far for a total solar eclipse to occur.
Therefore, a total solar eclipse can not occur every time the moon is between the Earth and the sun.
