Final answer:
The correct graph that shows the relationship between kinetic energy and mass is a linear relationship.
Step-by-step explanation:
The correct graph that shows the relationship between kinetic energy and mass is option C: a graph representing a linear relationship between mass on the x-axis and kinetic energy on the y-axis.
In a linear relationship, the kinetic energy of an object is directly proportional to its mass. This means that as the mass increases, the kinetic energy also increases, and vice versa.
For example, if we have two objects with different masses but the same velocity, the object with the greater mass will have a greater kinetic energy.