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math

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Please help me find the rule input 0 output 2 then input 1 output 4 next input 2 output 6 then input 3 output 8 last input 4 output 10
Thanks

  • math -

    If you suspect that the rule is a straight line,
    y=mx+b
    then find the slope using
    m=(y2-y1)/(x2-x1)
    Substitute m and (x1,y1) into the equation to find b.
    Verify that the rule applies to all the points.

  • math -

    First make a table to show input and output.

    IN. OUT
    0. 2
    1. 4
    2. 6
    .. ..
    Notice that the difference between outputs is 2.
    But 2 times each input does NOT give the correct output. However, if you add 2 to the product of 2 and input, you get the correct output.
    Therefore, the rule is 2x +2 where x is the input.

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