Which type of inhibition is most consistent with these observations?
Enzyme kinetics involves studying reaction rates. Key parameters include $V_{\text{max}}$, the maximum reaction velocity, and $K_m$, the substrate concentration required to reach half of $V_{\text{max}}$. An inhibitor affects these parameters based on its mechanism.
The question states that $V_{\text{max}}$ is unchanged, while $K_m$ increases. Let's examine common inhibition types:
The observed kinetic data ($V_{\text{max}}$ unchanged, $K_m$ increased) directly matches the characteristics of competitive inhibition. The inhibitor raises the substrate concentration needed for half-maximal velocity ($K_m$) but does not limit the maximum possible rate ($V_{\text{max}}$).
The kinetics of an enzyme in the presence (+I) or absence (-I) of a reversible inhibitor is described in the following graph.

If concentration of the reversible inhibitor in +I experiment was equal to $3.0 \times 10^{-3}$ M, then the dissociation constant for the enzyme-inhibitor complex is