Answer: The function that represents the number of vans needed for the trip is:
v(n) = ceil((n+c) / 12)
where ceil(x) is the smallest integer greater than or equal to x, n is the number of track team members, c is the number of coaches, and 12 is the number of passengers that can be seated in each van.
We need to add the number of coaches to the number of team members since they will all be traveling together. The result of the division should be rounded up to ensure that there are enough vans for everyone, even if there are only a few extra passengers.
Note: This assumes that all passengers will be traveling together in the same vans. If the coaches or some of the team members will be driving separately, the function may need to be adjusted accordingly.
Explanation: