What mathematical relationship, represented by $v = H_0 d$, defines the correlation Hubble found between recession velocity ($v$) and distance ($d$)?
Answer
Velocity is directly proportional to distance
When Edwin Hubble plotted his distance estimates ($d$) against the recessional velocities ($v$) provided by Slipher's redshift measurements, the resulting data points formed a straight line passing through the origin. This simple linear correlation signifies that the recession velocity of a galaxy is directly proportional to its distance from the observer. This fundamental relationship mathematically expresses the expansion of the universe, with the constant of proportionality being the Hubble Constant, $H_0$.

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