Change: Filling up a bathtub with water

• Explain how can you model how the change occurred or how you can quantify how the change occurred?
• Sketch a graph of a rate of change related to your experiment as a function of time, where t=0t=0 is when you started your experiment. You do not need to include any numbers on your axes - the shape is the important thing.
• Provide an intuitive argument for why the FTC makes sense in this situation for a particular time interval using a copy of your graph to support your argument