According to Hubble's Law, how does recessional velocity change with distance?

Hubble's Law states that the recessional velocity of a galaxy is directly proportional to its distance from an observer. This relationship can be expressed with the formula v = H₀d, where v represents the recessional velocity, H₀ is Hubble's constant, and d is the distance to the galaxy. As the distance d increases, the recessional velocity v also increases, indicating that galaxies farther away are moving away at greater speeds. This observation is crucial for understanding the expansion of the universe, as it implies that space itself is expanding, pushing galaxies apart from one another. This principle has been supported by a wide array of astronomical observations, reinforcing the notion that recessional velocity and distance are positively correlated according to Hubble's Law.