There are 412 students and 20 teachers taking buses on a trip to a museum. Each bus can seat a maximum of 48. Which inequality gives the least number of buses, b, needed for the trip?

Answer 1

To find the least number of buses needed, we can divide the total number of people by the maximum number of people that can be seated on each bus:

Total number of people = 412 students + 20 teachers = 432

Maximum number of people that can be seated on each bus = 48

Therefore, the inequality that gives the least number of buses needed is:

b ≥ ceil(432/48) = 9, where "ceil" denotes the ceiling function.

This means that we need at least 9 buses to transport all the students and teachers to the museum, and any number of buses greater than or equal to 9 will suffice.