A cell in the salubrious bath survives 30 min, and a cell in standard culture survives only

Question:

A cell in the salubrious bath survives 30 min, and a cell in standard culture survives only 5 min. Is there reason to think that the salubrious bath lengthens cell life?
It has been proposed that a particular salubrious bath extends cell lifespan. Suppose that cell mortality follows an exponential model. Use the method of support to evaluate the above case.