Answer:
d. These mutations most likely change the shape of the active site of the enzyme.
Step-by-step explanation:
A competitive inhibitor competes with an enzyme substrate for the binding of the enzyme. When it binds, the enzyme substrate cannot bind unless the inhibitor is removed from the active site by some mechanism.
The ability of a competitive inhibitor of an enzyme to function is due to the fact that these inhibitors are structurally similar to the enzyme's substrate.
So when a mutation which also affects the activity occurs in a microbe, that renders it resistant to a drug serving as a competitive inhibitor of that enzyme in the microbe, most likely, this resistance is due to a structural change in the enzyme which changes the shape of the enzyme's active site. Therefore, both the drug as well as the enzyme's substrate, will be unable to bind to the enzymes active site.