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?
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.