Problem

(Modeling) Solve the problem. See Examples 5 and 6.Classroom Ventilation According to the...

(Modeling) Solve the problem. See Examples 5 and 6.

Classroom Ventilation According to the American Society of Heating, Refrigerating and Air-Conditioning Engineers, Inc. (ASHRAE), a nonsmoking classroom should have a ventilation rate of 15 ft3 per min for each person in the classroom. (Source: ASHRAE, 1989.)

(a) Write an equation that models the total ventilation V (in cubic feet per hour) necessary for a classroom with x students.
(b) A common unit of ventilation is an air change per hour (ach). 1 ach is equivalent to exchanging all of the air in a room every hour. If a students are in a classroom having volume 15,000 ft3, determine how many air exchanges per hour (A) are necessary to keep the room properly ventilated.
(c) Find the necessary number of ach A if the classroom has 40 students in it.
(d) In areas like bars and lounges that allow smoking, the ventilation rate should be increased to 50 ft3 per min per person. Compared to classrooms, ventilation should be increased by what factor in heavy smoking areas?