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Thread: table difference?

  1. #1
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    table difference?

    create table difference like the following to determine each relationship is linear, quadratic, exponential, or neither. justify the answer

    table image link:

    https://imgur.com/a/HZvINpp
    https://ibb.co/nPF8xGm

    please check if my answers are right


    Table A):


    since the first and second differences are constant its is A linear relationship


    Table B):


    since the ratio between y-value is constant therefor its exponential relationship


    Table C):

    since the second difference are constant and the first difference are not constant therefore its A quadratic relationship


    Table D):

    since the second difference are constant and the first difference are not constant therefore its A quadratic relationship


    please check the answers. also please check the wording answers if better answer than my answer


    thanks much
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  2. #2
    MHF Contributor

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    Re: table difference?

    Quote Originally Posted by yorkmanz View Post
    create table difference like the following to determine each relationship is linear, quadratic, exponential, or neither. justify the answer

    table image link:

    https://imgur.com/a/HZvINpp
    https://ibb.co/nPF8xGm

    please check if my answers are right


    Table A):


    since the first and second differences are constant its is A linear relationship
    Since the first differences are constant, the second differences are necessarily 0. Yes, this is a linear relationship.


    Table B):


    since the ratio between y-value is constant therefor its exponential relationship
    Yes.


    Table C):

    since the second difference are constant and the first difference are not constant therefore its A quadratic relationship
    And the third differences are 0.


    Table D):

    since the second difference are constant and the first difference are not constant therefore its A quadratic relationship
    Yes. But you seem to be overlooking the rather obvious point that if the "nth differences" are constant then the "n+ 1 th differences" MUST be 0!


    please check the answers. also please check the wording answers if better answer than my answer


    thanks much
    Last edited by HallsofIvy; Apr 12th 2019 at 08:23 AM.
    Thanks from topsquark
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  3. #3
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    Re: table difference?

    Thank you so much, yes D is A linear relationship.. i missed typed it.

    For B):

    The y is 3, 27, 243, 2187, 19683.
    First difference = 24, 216, 1944, 17496. (Not 17676). correction
    so the second table Second difference is 9, 9, 9
    The relationship is Exponential, in first difference.

    please check my answer and confirm its the right solution

    Regards

    Dan
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