algebra

which data set represents an increasing linear function?
a) (1,-2),(3,1),(5,4),(7,7)
b) (1,1),(2,0),(3,-1),(4,-2)
c) (1,-3),(3,5),(5,11),(7,18)
d) (1,17),(2,15),(3,11),(4,3)

my answer: c) (1,-3),(3,5),(5,11),(7,18)

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asked by gracie
  1. Answer a)

    x1 = 1 , y1= - 2

    x2 = 3 , y2 = 1

    x3 = 5 , y3= 4

    x4 = 7 , y4 = 7

    x2 - x1 = 3 - 1 = 2

    x3 - x2 = 5 - 3 = 2

    x4 - x3 = 7 - 3 = 2

    y2 - y1 = 1 - ( - 2 ) = 1 + 2 = 3

    y3 - y2 = 4 - 1 = 3

    y4 - y3 = 7 - 4 = 3

    Numerically, y increases by 3 units for every 2 unit increase of x.

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    posted by Bosnian
  2. correct

    http://www.wolframalpha.com/input/?i=plot+%281%2C-3%29%2C%283%2C5%29%2C%285%2C11%29%2C%287%2C18%29

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    posted by Reiny
  3. Reiny

    c)

    isn't correct answer

    In w o l f r a m a l p h a . c o m

    type:

    interpolate (1,-3),(3,5),(5,11),(7,18)

    That is a cubic polynomial.

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    posted by Bosnian
  4. and

    x4 - x3 = 7 - 5 = 2

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    posted by Bosnian
  5. sorry, did not register the "linear" part, and concentrated on the "increasing"

    actually I think it is a),

    the slope between any two points is 3/2

    all points satisfy the equation
    3x-2y=7

    http://www.wolframalpha.com/input/?i=interpolate+%281%2C-2%29%2C%283%2C1%29%2C%285%2C4%29%2C%287%2C7%29+

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    posted by Reiny
  6. Bosnian was right in his first post.

    (think I will have a third cup of coffee to wake up)

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    posted by Reiny

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