course MTH 271 09/15,1520 `q001. Sketch a graph similar to that you constructed for the stock values, this time for the depth of the water vs. clock time (depths 80, 40, 20 at clock times 10, 40, 90). Your first point, for example, will be (10, 80). Connect these points with straight lines and determine the slopes of the lines.......!!!!!!!!...................................
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16:10:53 `questionNumber 30000 `q002. Look at your results for the slopes, and look the results for the average rates of change. What do you notice? In what way then does the graph represent the average rate of change?
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RESPONSE --> The average rates of change are equal to the slopes. The graph shows that the depth of water is decreasing at a decreasing rate. confidence rating: 3 ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
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16:13:31 `questionNumber 30000 `q003. To what extent do you think your graph with three points and straight line segments between them accurately depicts the detailed behavior of the water over the 80-second period of observation? How do you think the actual behavior of the system differs from that of the graph? How do you think the graph of the actual behavior of the system would differ from that of the graph you made?
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RESPONSE --> The graph including the straight lines between points accurately demonstrates the trend of the water loss. The depth decreases most quickly at first before slowing. This is evident in the value of the slopes of the lines. A more detailed graph, however, would show a cuved decreasing line instead of a linear graph. confidence rating: 2 ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
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16:15:12 `questionNumber 30000 `q004. From the given information, do you think you can accurately infer the detailed behavior of the water depth over the 80-second period? Do you think you can infer the detailed behavior better than you could the values of the stocks? Why or why not?
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RESPONSE --> I believe that the behavior of the water can accurately be inferred from the given information. The behavior of the water in this system is known and predictable. The stock values, however, would be impossible to accurately infer as we cannot predict the day-to-day gains and losses of the stock market. confidence rating: 3 ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
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