IM1.5.2 Pool Party!

Task 1: Graph it!
Sylvia has a small pool full of water that needs to be emptied and cleaned, then refilled for a pool party. During the process of getting the pool ready, Sylvia did all of the following activities, each during a different time interval.[list=1][*]Sylvia and her two friends removed water with three buckets[/*][*]Removed water with a single bucket[br][/*][*]Filled the pool with a hose (same rate as emptying pool)[br][/*][*]Drained water with a hose (same rate as filling pool)[br][/*][*]Cleaned the empty pool[br][/*][*]Took a break[br][/*][/list]Sketch a possible graph showing the height of the water level in the pool over time. Be sure to include all of activities Sylvia did to prepare the pool for the party. Remember that only one activity happened at a time. Think carefully about how each section of your graph will look, labeling where each activity occurs. Label each activity with its description (you can use text boxes).
Task 2: Describe it!
1. Write a story connecting Sylvia’s process for emptying, cleaning, and then filling the pool to the graph you have created. Do your best to use appropriate math vocabulary.[br]2. Does your graph represent a function? Why or why not? Would all graphs created for this situation represent a function?
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Information: IM1.5.2 Pool Party!