Water Preservation At Harlan County Dam in Nebraska, the U.S. Bureau of Reclamation

Chapter 1, Problem 103

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Water Preservation At Harlan County Dam in Nebraska, the U.S. Bureau of Reclamation reports that the storage content of the reservoir increased from 315,000 acre-feet (102.7 billion gallons of water) on December 21, 2009 to 319,300 acre-feet 0 x 1000. 0 x 400. 0 x 2000. (104.1 billion gallons of water) on January 20, 2010. Suppose that the rate of increase of water remains constant. (a) Find a linear equation that relates the amount A of water, in billions of gallons, to the time t, in days. Use for December 21, for December 22, and so on. (b) How much water was in the reservoir on December 31 (c) Interpret the slope. (d) How much water is predicted to be in the reservoir on January 31, 2010 (e) The capacity of the dam is 814,111 acre-feet (265.5 billion gallons of water). If the outflow of water is not controlled, when will the reservior overflow and cause flooding? (f) Comment on your answer to part (e). Source: U.S. Bureau of Reclamation.