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Math

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HELP! Input:1 1/3 Output 7/12 Input 2 3/5 Output 1 17/20 Input 3 5/6 Output ? Input ? Output 3 5/8. What is the rule, and what are the question marks values?

  • Math -

    consider it to be the ordered pairs

    (4/3 , 7/12) and (13/5 , 37/20) and the relation is linear , since only 2 points were given

    slope = (37/20 - 7/12) / (13/5 - 4/3) = 1

    so y - 7/12 = x - 4/3
    multiply be 12

    12y - 7 = 12x - 16
    12x - 12y = 9
    or
    4x - 4y = 3

    so the input is your x , the output is your y

    for input 3 5/6 or 23/6

    4(23/6) + 4y = 3
    4y = 3 - 46/3
    y = - 37/12 ---> output

    You try the other one

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