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Numerade Educator

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Problem 28 Easy Difficulty

In a normal respiratory cycle the volume of air that moves into and out of the lungs is about 500 mL. The reserve and residue volumes of air that remain in the lungs occupy about 2000 mL and a single respiratory cycle for an average human takes about 4 seconds. Find a model for the total volume of air
$ V(t) $ in the lungs as a function of time.

Answer

v(t)= 2000 + (500)4t

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Video Transcript

in a normal respiratory cycle. The volume of air that moves into and out of the lungs is about five thousand five hundred millilitres the reserve and residue volumes of air that remained in the lung socket by about two thousand milliliters. And the single respiratory cycle for an average human takes about four seconds. Find a model for the total volume of air V ft in the lungs as a function of time. So we know that on Hear that. Ah, that occupies Long says two thousand. Okay. And for any given time Ah, the vice mayor that moves in and out of lungs is five hundred and we'LL most play that by every four seconds the human being a briefs.