Question: 8. (2 marks) In addition to studying how fast an emerging infectious disease spreads among people, John looked into how the Pollution Standard Index of

8. (2 marks) In addition to studying how fast an emerging

8. (2 marks) In addition to studying how fast an emerging infectious disease spreads among people, John looked into how the Pollution Standard Index of a city, P, affects the lifetime of the pathogen causing such disease. Let L denote the duration for which such pathogen can survive in air. John suggested that the relationship between L and P was given by g _ (5 - L)(P 200) dP _ 1000 ' where L is measured in minutes. John observed that, when P = 100, the concerned pathogen could survive for 6 minutes in air (is. L = 6 in such case). According to this model of John, for how long (correct to 3 signicant gures) would this pathogen survive in air when P = 150

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