A calculated political strategy disguised as a public convenience quickly unraveled into a tragic and obsessive national cult. The primary approach among commentators is that the initial creation of the golden calves was not meant to establish outright idolatry. Instead, the goal was to create an alternative center for worshiping God. However, as time passed, the Israelites were drawn to the calves and eventually began worshiping them as actual deities [רד״ק, מצודת דוד, אברבנאל].
This gradual decline echoes previous moments in history. Items like Gideon's ephod or the copper snake were originally crafted for positive reasons or as memorials, but the people eventually strayed and turned them into idols [אברבנאל]. While this destructive process took time, the very act of crafting the golden calves was a massive sin in its own right, long before the practice devolved into full-blown idol worship [רלב״ג].
The unfolding events also reveal a deep psychological miscalculation. Jeroboam assumed the public wanted to lighten the burden of their religious duties and avoid the difficult journey to Jerusalem. In reality, human nature naturally seeks effort and sacrifice when serving God. Unable to tell the difference between authentic Temple worship and the new calf worship, the masses believed this new practice was what God desired. Seeking to put in the effort and earn a reward for their journey, they bypassed the nearby worship site in Bethel and chose to travel vast distances instead [מלבי״ם].
This drive for sacrifice led the people to travel to the furthest northern border of the land [רש״י, ביאור שטיינזלץ]. Their willingness to journey from the deep south of Beersheba all the way to the northern edge in Dan highlights both their deep devotion to this new cult and the deep disgrace of their actions [רד״ק, רלב״ג, מצודת דוד, אברבנאל]. Ultimately, a political move designed to save the people a trip to Jerusalem ironically resulted in them trekking to the absolute edge of the country [מצודת דוד].