Final answer:
The Michaelis-Menten equation for the rate of an enzyme-catalyzed reaction is V = (Vmax x [S]) / (Km + [S]), which includes variables for substrate concentration ([S]), maximum velocity (Vmax), and the Michaelis-Menten constant (Km).
Step-by-step explanation:
The equation that represents the rate of an enzyme-catalyzed reaction following simple Michaelis-Menten kinetics is:
V = (Vmax × [S]) / (Km + [S])
This equation demonstrates that the rate of reaction V depends on the substrate concentration [S], the maximum velocity Vmax, and the Michaelis-Menten constant Km. As the substrate concentration increases, the reaction rate also increases until it reaches Vmax, where all enzyme active sites are saturated. The Km value represents the substrate concentration at which the reaction rate is at half of Vmax. These parameters are crucial for understanding enzyme kinetics and the efficiency of the enzyme under different substrate concentrations.