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Math Help - During a 12hour period, the tiles in one area of the bay of Fundy cause the water...

  1. #1
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    During a 12hour period, the tiles in one area of the bay of Fundy cause the water...

    During a 12hour period, the tiles in one area of the bay of Fundy cause the water level to rise to 6 m above average sea level and to fall 6 m below average sea level. The depth of the water at low tide is 2 m as measure against a pier.

    a)Suppose the water is at average sea level (rest position) at 0:00 hours(midnight) and the tide is coming in. Draw a graph that shows the height of the tide over a 24 hour period. Explain how you obtained the graph.

    What I know:Assuming the tide rises and falls at a steady rate it is just a jagged graph. It rises for 3 hours, reaches a peak, drops back down to 0 at 6 hours, drops below zero to a minimum at 9 hours, and rises back up to 0 at 12 hours. You repeat that cylce for the second 12 hour period, to get the entire graph for the 24 hours.

    I know it will look like this (excuse the dots)

    /\../\
    ..\/..\/

    So would the max and min. points be 6 m and -6 m?
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  2. #2
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    Re: During a 12hour period, the tiles in one area of the bay of Fundy cause the water

    Three remarks. First, there are few natural processes that move in straight lines and angles. Tides are more likely to change in a sinusoidal way. Search the web for tide graphs.

    Second, it is not clear whether "the height of the tide," which you need to draw, means the absolute depth of the water or the depth minus the average sea level. Since the absolute depth at low tide is given, I would guess it is the former. So, the minimum would be 2m.

    Third, again, it is not clear whether the phrase
    During a 12hour period, the tiles in one area of the bay of Fundy cause the water level to rise to 6 m above average sea level and to fall 6 m below average sea level
    means that the 12-hour period ends at low tide or average level. Literally, it seems to mean the former, though I would not be surprised if the situation where the whole period takes 12 hours is described this way.
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    Re: During a 12hour period, the tiles in one area of the bay of Fundy cause the water

    Quote Originally Posted by iloveall View Post
    During a 12hour period, the tiles in one area of the bay of Fundy cause the water level to rise to 6 m above average sea level and to fall 6 m below average sea level. The depth of the water at low tide is 2 m as measure against a pier.

    a)Suppose the water is at average sea level (rest position) at 0:00 hours(midnight) and the tide is coming in. Draw a graph that shows the height of the tide over a 24 hour period. Explain how you obtained the graph.

    What I know:Assuming the tide rises and falls at a steady rate it is just a jagged graph. It rises for 3 hours, reaches a peak, drops back down to 0 at 6 hours, drops below zero to a minimum at 9 hours, and rises back up to 0 at 12 hours. You repeat that cylce for the second 12 hour period, to get the entire graph for the 24 hours.

    I know it will look like this (excuse the dots)

    /\../\
    ..\/..\/

    So would the max and min. points be 6 m and -6 m?
    No. The problem, as you quoted it, says "The depth of the water at low tide is 2 m". The min height is 2, not -6.
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