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March 30, 2017

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Input x 2 output y=17, input x 4 output y=28, input x 6 output y=42, what is the rule for the table?

  • Math - ,

    2 17
    4 28
    6 42

    The points (2,17), (4,28), and (6,42) do not lie in a straight line, so the relations is not linear.
    Let's assume they form a quadratic of the form
    y = ax^2 + bx + c
    subbing in the values, I get

    4a + 2b + c = 17
    16a + 4b + c = 28
    36a + 6b + c = 42

    start by subtracting pairs to eliminate the c, then solving for the remaining a and b

    ( I ended up with a=3/8, b=13/4, and c=9 )

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