The team used graphing calculators to model the trajectories of missiles launched by North Korea and the United States towards the moon. They graphed the best fit lines for each missile and found their point of intersection, determining the missiles would collide after 10.11 days at an altitude of 225,000.68 miles. This showed how the team's math skills could solve a real-world problem by intercepting the nuclear missile before it reached the moon. Possible errors included entering incorrect numbers or rounding values inaccurately during calculations.