The correct option is D. [S] would need to be 2 KM.
In order for an enzyme obeying the michaelis-menten model to reach 1/2 of its maximum velocity [S] would need to be 2 KM.
The Michaelis-Menten (MM) equation is a popular model for enzymatic reactions that resembles the original dynamics that under assumption that the enzyme concentration remains constant.
The enzyme interacts also with substrate to produce an enzyme-substrate complex, which results in product synthesis and enzyme release.
Some key features regarding the Michaelis-Menten Model are-
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The complete question is;
In order for an enzymatic reaction obeying the Michaelis-Menten equation to reach 1/2 of its maximum velocity,
A. [S] would need to be 1/2 KM.
B. [S] would need to be 3 /4KM.
C. [S] would need to be equal to KM.
D. [S] would need to be 2 KM.
E. [S] would need to be 3KM.