Answer:
competitive inhibition
Explanation:
Given in the first order [tex]\text{Michaelis-Menten enzyme catalyzed reaction}[/tex].
[tex]$V_i$[/tex] = velocity in the presence of the inhibitor
V = velocity when run without the inhibitor.
S = substrate concentration
We need to plot a curve for [tex]$\frac{1}{[V]}$[/tex] vs [tex]$\frac{1}{[S]}$[/tex] and a second plot of [tex]$\frac{1}{[V_i]}$[/tex] vs [tex]$\frac{1}{[S]}$[/tex]
By plotting the curve we see that the slope and the intercept are not the same for the two curves.
And also, the [tex]$V_{max}$[/tex] for the second curve with the inhibitor is lower than the first curve.
Therefore, the inhibition type would be competitive.