Final answer:
Using Hubble's constant of 22 km/s per million light-years, a galaxy located 100 million light-years away is expected to move away from us at a recessional velocity of 2200 km/s.
Step-by-step explanation:
To determine how fast we would expect a galaxy moving 100 million light-years away to be receding from us, we can use Hubble's constant. We're given that Hubble's constant is 22 kilometers per second per million light-years. Therefore, for a galaxy that is 100 million light-years away, the calculation would be a simple multiplication:
Recessional velocity (v) = Hubble's constant (H) × Distance (d)
v = 22 km/s/million light-years × 100 million light-years
v = 22 × 100 km/s
v = 2200 km/s
So, a galaxy 100 million light-years away is expected to move away from us at a speed of 2200 kilometers per second.