The equation is y=80.4- 11 ln x, 100<x<1500 Which approximates the minmum required ventilation rate in terms of the air sapace per child in a public school class room. In the model, x is the air space per child in cubic feet and y is the ventilation rate per child in cubic ft. per minute.

Question

A classroom is designed for 30 students. The air conditioning system in the room has the capacity of moving 450 cubic feet of air per minute.

A) Determine the ventilation rate per child, assuming that the room is filled to capacity.
B) Estimate the air space required per child
C) Determine the minimum number of square feet of floor space required for the room if the ceiling height is 30 feet.