The correct response to how the gravitational force between Earth and the Moon would change if the distance between the two objects doubled is:
The gravitational force between Earth and the Moon would decrease by a proportional amount.
According to the law of universal gravitation, the gravitational force (F) between two objects is inversely proportional to the square of the distance (r) between them. This means that if the distance is doubled, the gravitational force would decrease to one-fourth of its original value.