Climate change has caused an increase in extreme rainfall in village X, which leads to flooding...

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Climate change has caused an increase in extreme rainfall in village X, which leads to flooding in the village. As an officer from the department of irrigation and drainage, you measure the water level caused by the flood yearly to predict the occurrence of flood so that appropriate flood preparedness and response can be carried out. Data of the highest water caused by the flood level was collected from the year 2000 and it was 150cm. Data of the highest water level was recorded yearly since the year 2000 and you found out there is a consistent of increment for the water level, 0.3% as compared to the previous year. By having Po to represent the water level in the year 2000, P, will represent the water level for n years since the year 2000. a. Calculate the water level in the years 2001, 2002, and 2003 based on the variables n and Po. [6 marks] b. Determine a linear recurrence relation to describe the increment of water level after n years. C. What is the water level in the year 2007? [2 marks] [2 marks] d. An evacuation plan will be activated when the water level reaches 155cm. In which year that the evacuation plan needs to be activated if the increasing trend remains the same for the following years? [5 marks] Climate change has caused an increase in extreme rainfall in village X, which leads to flooding in the village. As an officer from the department of irrigation and drainage, you measure the water level caused by the flood yearly to predict the occurrence of flood so that appropriate flood preparedness and response can be carried out. Data of the highest water caused by the flood level was collected from the year 2000 and it was 150cm. Data of the highest water level was recorded yearly since the year 2000 and you found out there is a consistent of increment for the water level, 0.3% as compared to the previous year. By having Po to represent the water level in the year 2000, P, will represent the water level for n years since the year 2000. a. Calculate the water level in the years 2001, 2002, and 2003 based on the variables n and Po. [6 marks] b. Determine a linear recurrence relation to describe the increment of water level after n years. C. What is the water level in the year 2007? [2 marks] [2 marks] d. An evacuation plan will be activated when the water level reaches 155cm. In which year that the evacuation plan needs to be activated if the increasing trend remains the same for the following years? [5 marks]