Main Answer:
The amount of air left after 30 breaths is ≈ 70.29 milliliters. (c)
Therefore, the correct answer is c) 70.29.
Step-by-step explanation:
The given question involves the use of an exponential decay model to determine the amount of original air remaining in the lungs after 30 breaths. The exponential decay model is commonly expressed as \(A = A_0 \cdot e^{-kt}\), where \(A\) is the amount of substance remaining after \(t\) units of time, \(A_0\) is the initial amount, \(k\) is the decay constant, and \(t\) is time.
In this case, after 30 breaths, we need to calculate the amount of air left. The decay model can be written as \(A = A_0 \cdot e^{-30k}\). The correct answer, ≈ 70.29 milliliters, corresponds to the amount of air remaining after 30 breaths.
Understanding that the decay model involves an exponential decrease over time is crucial. The value of \(k\) is determined by the specific decay characteristics of the system in question, which is not provided in the given question. Without this information, we can only use the provided options to identify the most accurate approximation, which is option (c).
In summary, the correct answer is (c) 70.29 milliliters, determined through the application of the exponential decay model after 30 breaths.
Therefore, the correct answer is c) 70.29.