Mathematics

Mathematics

Problem

A water sample initially contains 500500 ppm of pollutant C, which decays continuously at rate 0.08 h−10.08\text{ h}^{-1}. Simultaneously, pollutant D is introduced at an initial concentration of 5050 ppm and increases continuously at rate 0.05 h−10.05\text{ h}^{-1}. Which of the following best describes when the two concentrations are equal and which pollutant has the greater concentration two hours afterward? a) They are equal at approximately 10.6 h10.6\text{ h}; thereafter pollutant D has the greater concentration. b) They are equal at approximately 17.7 h17.7\text{ h}; thereafter pollutant D has the greater concentration. c) They are equal at approximately 17.7 h17.7\text{ h}; thereafter pollutant C has the greater concentration. d) They are equal at approximately 7.7 h7.7\text{ h}; thereafter pollutant D has the greater concentration.

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