The greater the substrate concentration, the higher the rate of reaction:
As the number of substrate molecules increases, the likelihood of enzyme-substrate complex formation increases
If the enzyme concentration remains fixed but the amount of substrate is increased past a certain point, however, all available active sites eventually become saturated and any further increase in substrate concentration will not increase the reaction rate
When the active sites of the enzymes are all full, any substrate molecules that are added have nowhere to bind in order to form an enzyme-substrate complex
For this reason, in the graph below there is a linear increase in reaction rate as substrate is added, which then plateaus when all active sites become occupied
The effect of substrate concentration on the rate of an enzyme-catalysed reaction