The rate, V, of an enzyme reaction is a function of the substrate concentration, S, and is described well by the Michaelis–

Menten equation,

V(S) = Vmax S K + S , for some constants Vmax and K. In practice, we measure V and S and use these measurements to determine Vmax and K.

a. If S has units of µM and V has units of µM s−1 , what are the units of Vmax and K?

b. Rearrange the equation to show that you can write it in the form of a straight line, where 1/V is a linear function of 1/S.

c. How do you find Vmax and K from the equation in part (b)?

d. In a specific experiment, the famous scientist Jaime determined that when S = 1 µM, V = 1/3 µM s−1 , and when S = 2 µM, V = 1/2 µM s−1 . Thus, if we think of V as a function of S, we have V(1) = 1 3 µM s−1 , V(2) = 1 2 µM s−1 .
Use this information to calculate Vmax and K for this reaction.