A logistics coordinator at a shipping company needs to estimate the distance ($d$) a delivery truck will travel based on its driving time ($t$), assuming the distance varies directly with time. To solve this application problem using the direct variation strategy, arrange the following steps in the correct procedural order.

A railway operations manager is analyzing the travel patterns of a freight train. If the distance ($d$) the train travels varies directly with the time ($t$) it is in motion, which general formula should the manager use to represent this relationship using the constant of variation ($k$)?

A logistics coordinator is using a direct variation model to analyze train schedules. The coordinator knows the distance ($d$) varies directly with time ($t$) according to the formula $d = kt$. If the train travels 100 miles in 2 hours, match each mathematical element to its correct role or value based on the problem-solving steps.

A transportation logistics manager is using a direct variation model to analyze train schedules. If a freight train travels 100 miles in 2 hours, it is correct to state that the specific equation relating its distance ($d$) and time ($t$) is $d = 50t$.

Railway Logistics: Distance Projection

A logistics analyst is training new dispatchers on how to project travel distances for a cargo train. The analyst explains that if the distance ($d$) the train travels varies directly with its travel time ($t$), they must first find the constant of variation ($k$). If the train is known to travel 100 miles in 2 hours, the specific constant of variation ($k$) they must recall and use for this route is ____.