Question

When concentrations of formaldehyde in the air exceed 33μg/ft³ (where 1μg=10⁻⁶grams), a strong odor and irritation to the eyes often occurs. One square foot of hardwood plywood paneling can emit 3365μg of formaldehyde per day.A 3 ft × 6 ft sheet of paneling is attached to a wall in a room with floor dimensions of 10 ft ×10 ft and a height of 6 ft

The total area of hardwood plywood paneling is 18 ft². 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.F=3365x

Answer 1

A linear equation to model formaldehyde levels in a room with hardwood plywood paneling is F = 3365 x 18 x, representing the buildup of formaldehyde in micrograms over x days with no ventilation.

Step-by-step explanation:

The question asks for a linear equation that models the amount of formaldehyde in a room with given dimensions after x days, where there is no ventilation. From the information provided, we know that one square foot of hardwood plywood paneling emits 3365μg of formaldehyde per day.

The total area of paneling in the room is 18 ft², thus the formaldehyde emission from the paneling will be 18 times the amount emitted by one square foot. Therefore, the linear equation representing the formaldehyde F in μg in the room after x days is F = 3365 × 18 × x. This equation assumes that the emission rate remains constant and that there is no formaldehyde removal process in the room.