Final answer:
The velocity for an enzyme-catalyzed reaction following Michaelis-Menten kinetics is given by v = Vmax [S] / (Km + [S]), which is known as the Michaelis-Menten equation.
Step-by-step explanation:
The velocity for an enzyme-catalyzed reaction that obeys Michaelis-Menten kinetics is expressed by the equation v = Vmax [S] / (Km + [S]). This equation describes how the rate of enzyme activity (v) increases with substrate concentration ([S]) up to a maximal velocity (Vmax), at which point all active sites on the enzyme are saturated. Km, the Michaelis-Menten constant, represents the substrate concentration at which the reaction rate is at half its maximum. The above equation is known as the Michaelis-Menten equation and suggests that the velocity of an enzyme-catalyzed reaction can be calculated if the maximum velocity and the Michaelis constant are known.