The quabbin reservoir in the western part of massachusetts


Question: The Quabbin Reservoir in the western part of Massachusetts provides most of Boston's water. The graph in Figure 6.22 represents the flow of water in and out of the Quabbin Reservoir throughout 2007.

(a) Sketch a graph of the quantity of water in the reservoir, as a function of time.

(b) When, in the course of 2007, was the quantity of water in the reservoir largest? Smallest? Mark and label these points on the graph you drew in part (a).

(c) When was the quantity of water increasing most rapidly? Decreasing most rapidly? Mark and label these times on both graphs.

(d) By July 2008 the quantity of water in the reservoir was about the same as in January 2007. Draw plausible graphs for the flow into and the flow out of the reservoir for the first half of 2008.

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Mathematics: The quabbin reservoir in the western part of massachusetts
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