The school has buses and vans that are available for
the field trip. Each bus can transport 45 students, and
each van can transport 8 students. There are 241
students going on the field trip. The school plans to use
a total of 7 vehicles to transport all of the students. Your
classmate sets up a system of linear equations and
graphs it to determine the number of buses and vans
that the school should use. Your classmate looks at the
graph and claims that the lines intersect at the ordered
pair (2, 5) where 2 represents the number of buses and
5 represents the number of vans.
Provide reasoning to explain that your classmate's
claim is incorrect.