Problem

(Modeling) Solve the problem. See Examples 5 and 6.Eye Irritation from Formaldehyde When...

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

Eye Irritation from Formaldehyde When concentrations of formaldehyde in the air exceed 33 µg/ft3 (1 µg = 1 microgram = 10−6 gram), a strong odor and irritation to the eyes often occurs. One square foot of hardwood plywood paneling can emit 3365 µg of formaldehyde per day. (Source: Hines, A., T. Ghosh, S. Loyalka, and R. Warder, Indoor Air: Quality &Control, Prentice-Hall, 1993.) A 4-ft by 8-ft sheet of this paneling is attached to an 8-ft wall in a room having Poor dimensions of 10 ft by 10 ft.

(a) How many cubic feet of air are there in the room?
(b) Find the total number of micrograms of formaldehyde that are released into the air by the paneling each day.
(c) If there is no ventilation in the room, write a linear equation that models the amount of formaldehyde F in the room after x days.
(d) How long will it take before a person’s eyes become irritated in the room?

EXAMPLE 5

MODELING THE PREVENTION OF INDOOR POLLUTANTS