Use the model y = 80.4 -11 ln x, 100  ≤ x ≤ 1500 which approximates the minimum required ventilation rate in terms of the air space per child in a public school classroom. In the model, x is the air space (in cubic feet) per child and y is the ventilation rate (in cubic feet per minute) per child.
1. Use a graphing utility to graph the model and approximate the required ventilation rate when there are 300 cubic feet of air space per child.
2. In a classroom designed for 30 students, the air conditioning system can move 450 cubic feet of air per minute.
(a) Determine the ventilation rate per child in a full classroom.
(b) Estimate the air space required per child.
(c) Determine the minimum number of square feet of floor space required for the room when the ceiling height is 30 feet.