(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

In the previous question, we're asked to determine the average flow rate from 00:00 on 28 October to 00:00 on 2 November, which I did by finding the slope connecting these two points. The slope is -1/6 and so the average rate is -1/6 cfs/hours. The question that follows asks "at what times did the river flow at that rate?" (the rate being -1/6 cfs/hours). I'm confused as to what they are asking, perhaps some clarification (and lead-ins) will help me answer the question.

Here are the data values:

The time is measured in hours past midnight, starting at 00:00 on 27 October. The flow is measured in cubic feet per second (cfs).

Time Flow

0 440

6 450

12 480

18 570

24 680

30 800

36 980

42 1090

48 1520

54 1920

60 1670

66 1440

78 1300

84 1150

90 1060

96 970

102 900

108 850

114 800

120 780

126 740

132 710

138 680

144 660

Another question asks "the river is controlled by a series of dams. During which days did the amount of flowing water increase?". The first curve (if you read below I explain why I have two curves) has a postive slope and is thereby increasing, suggesting that the flow rate is increasing as well. For this question, I simply found the area below the first curve by computing the definite integral where the lower limit is 0 and the upper limit is 54. But then I did the same for the second curve, and saw that the area below this curve is greater than that below the first???!! Does this mean that the amount of flowing water is greater below the second curve (although the curve is following a 'decreasing' trend). Hence, what are they exactly asking by this question?!

2. Relevant equations

Earlier in the assigment, we had to find the best fit of the points. I divided the data set into two sets, where the first set ends with the x value 54 and second set starts with the x value 54 as well, so that I ended up with two curves. One curve isn't very informative of the trend followed by the points.

3. The attempt at a solution

?? I think I attempted at a solution above.

Thank you! (and sorry for making the thread so (unnecessarily?) lengthy)

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# Homework Help: Help understand wording of question

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