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March 28, 2017

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As a diver descends into fresh water we have determined that for every 10 meters of depth the pressure on the diver increases by one atmosphere. Find the equation of the line representing this relationship if we know that when the diver is at a depth of 25 meters there is a pressure of 3.5 atmospheres

  • algebra - ,

    let's take some ordered pairs that fit the above description.
    (25,3.5) , (35, 4.5), (45, 5.5), (15, 2.5 , (5, 1.5)
    etc

    in each case of pairs, the slope is 1/10 , and the function is linear.

    so A = (1/10)m + b
    using the given point (25,3.5)
    3.5 = (1/10)(25) + b
    b = 1

    A = (1/10)m + 1

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