Check whether the graph consists of connected lines or distinct points.
Continuous.
Practice makes perfect
To determine if a graph is continuous, tell whether it is made up of connected lines or curves.
If there is any gap or distinct point then it is discrete.
The graph of the situation is continuous because it consists of connected lines. There are no gaps along the horizontal axis.
Please note that, when time is the independent variable, the graph will almost always be continuous.