Contaminated water is subjected to a cleaning process. The concentration of the pollutants is  initially 5 mg per liter of water. If the cleaning process can reduce the pollutant by 10% each hour,  define a function that can represent the concentration of pollutants in the water in terms of the  number of hours that the cleaning process has taken place.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.9: Combining Functions
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Read and analyze each situation carefully and apply your learnings on representing real-life situations involving functions including piecewise. 

  1. Contaminated water is subjected to a cleaning process. The concentration of the pollutants is  initially 5 mg per liter of water. If the cleaning process can reduce the pollutant by 10% each hour,  define a function that can represent the concentration of pollutants in the water in terms of the  number of hours that the cleaning process has taken place. 

    2. During typhoon Ambo, PAGASA tracks the amount of accumulating rainfall. For the first three  hours of typhoon, the rain fell at a constant rate of 25mm per hour. The typhoon slows down for  an hour and started again at a constant rate of 20 mm per hour for the next two hours. Write a  piecewise function that models the amount of rainfall as function of time. 
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