Question

Valencia is deflating her air mattress at the end of her camping trip. The volume of air in the air mattress, in cubic feet, can be modeled by the equation V=33-4.4t where t is the time in minutes since she started removing the air from the mattress.

a. At what rate is the air being removed from the air mattress? Indicate proper units

Answer 1

The rate at which air is being removed from the air mattress is 4.4 cubic feet per minute (cu ft/min), as indicated by the coefficient of t in the equation V = 33 - 4.4t.

Step-by-step explanation:

The volume of air in the air mattress is modeled by the equation V = 33 - 4.4t, where V is the volume in cubic feet and t is the time in minutes. The rate at which air is being removed from the air mattress can be determined by the coefficient of t in the equation, which represents the volume change per unit time.

In this equation, the coefficient of t is -4.4. This means that the volume of air is decreasing at a rate of 4.4 cubic feet per minute (cu ft/min) since this is the amount being subtracted from the total volume per minute as time passes.