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12 January, 02:44

Ainsley lives in a town 360 miles directly north of Orlando, and one Saturday, she takes the train from her town to the city. he train travels at a constant speed, and after 2.5 hours, she sees a sign that states "Orlando: 210 miles". What is an equation that represents (x), the distance Ainsley is from Orlando after x hours.

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  1. 12 January, 02:51
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    By definition we have to:

    d = v * t

    where,

    d: distance

    v: speed

    t: time

    We have then that the speed is:

    (360-210) = v * 2.5

    Clearing we have:

    v = (360-210) / 2.5

    v = 60 mph

    We now write the generic equation of distance:

    d (x) = 60x

    Where,

    x: time

    Answer:

    an equation that represents (x), the distance Ainsley is from Orlando after x hours is:

    d (x) = 60x
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