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1. On what date was the river rising most rapidly? How do you know? 2. On what d

ID: 2891776 • Letter: 1

Question

1. On what date was the river rising most rapidly? How do you know?

2. On what date was the river falling most rapidly? How do you know?

3. There were two dates in a row on which the river rose, then fell, then rose again during the course of the day. On which days did that occur? How do you know?

4. At 12:01 am on April 14, the river level was 111.0 feet. Estimate its height 24 hours later and 48 hours later. Explain how you made your estimates.

5. The river crested at 114.4 feet. On what date do you think this occurred?

please help!

The Connecticut River Project Whenever the Connecticut River reaches a level of 105 feet above sea level, two Northampton, Massachusetts, flood control station operators begin a round-the-clock river watch. Every two hours, they check the height of the river, using a scale marked off in tenths of a foot, and record the data in a log book. In the spring of 1996, the flood watch lasted from April 4, when the river reached 105 feet and was rising at 0.2 ft/hr, until April 25, when the level subsided again to 105 feet. Between those two dates, their log shows that the river rose and fell several times, at one point coming close the 115-foot mark. If the river had reached the 115-foot mark, the city would have closed down Mount Tom Road (Route 5, south of Northampton) The graph below shows the rate of change of the level of the river during one portion of the flood watch. Use the graph to answer the questions on the next page. O CD Day (0 12:01A.M. April 14)

Explanation / Answer

1) The river was rising more rapidly when the given graph has a maximum

Hence on the zeroth day i.e. starting day

2) The river was falling more rapidly when the given graph has a minimum

Hence on the ninth day

3) There must be increase followed by decrease and again increase on the same day.

This occurred when the rate is first positive, then negative and again positive.

On the 4th day the rate is first positive, then negative then again positive.