Gelu was pouring wine at a constant rate into a glass similar to the one shown in the figure. Counting the seconds to fi

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Gelu Was Pouring Wine At A Constant Rate Into A Glass Similar To The One Shown In The Figure Counting The Seconds To Fi 1 (76.74 KiB) Viewed 21 times

Gelu was pouring wine at a constant rate into a glass similar to the one shown in the figure. Counting the seconds to fill the glass with wine, Gelu calculated that he is pouring wine at 30ml/sec. The glass has a height of 12 cm and it took Gelu about 4 seconds to fill the glass to the brim. Sketch a graph of the depth of the wine in the glass as a function of time. Account for the shape of the graph in terms of concavity. By looking at your graph, describe how the depth of the wine in the glass is changing and answer the following: a) At first, the depth of the wine in the glass is changing at a (0) b) Around second c) The inflection point of the function would be (Key words for your description: rate, faster, slower). I know that, because . Then, as the glass widens, the depth of the wine is increasing at a The inflection point is the point where d) The average rate of change of the depth of the wine about (use units of measure). Around second ascending order), the rate of change of the depth is the same as the average rate of change. the glass is filling at the slowest rate. I estimate that, at that time, the depth of the wine would be about e) The graph of the depth of the wine in the glass as a function of time is best represented by the picture and second (choose (a) or (b)) below. cm. (fill in the values in