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.