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近期,我市高一第一学期数学期终测试中有这样一道试题:2013年1月9日以来,全国中东部地区17城市持续雾霾,陷入大范围重度和严重污染.为减少空气污染,要求工厂产生的废气必须经过过滤后才能排放.已知某工厂废气过滤过程中,废气的污染物数量Pmg/L与时间th间的关系为:P=P0e-kt(这里e是自然对数的底数,k是一个正的常数).
Recently, the first semester of our city semester math final exam has such a test: Since January 9, 2013, 17 cities in the central and eastern regions of the country continued haze, into a wide range of severe and serious pollution.In order to reduce air pollution, It is required that the exhaust gas produced by the factory must be filtered before it can be discharged.It is known that during the flue gas filtration process in a factory, the relationship between the amount of pollutant Pmg / L and the time th is: P = P0e-kt (where e is the natural logarithm Base, k is a positive constant).