Pathway dependent refers to variables or quantities whose values depend on the process or 'path' taken to reach a certain state.
Imagine going from home to school. The amount of gas used in your car would be pathway dependent - if you take a longer route with more traffic lights, you'll use more gas than if you took a shorter route with fewer stops.
Work Done (in physics): This is an example of pathway dependence as it relies on both force applied and distance over which it's applied.
Heat Transfered (q): In thermodynamics, this is another example where value depends upon path taken during transfer process.
Kinetic Energy: This can be considered pathway dependent as well since it depends upon mass and velocity (which can change depending upon path taken).
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