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Math Help - Proportionality

  1. #1
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    Proportionality

    Hello everyone!

    This got me confused as I have not used proportionality for a very long time, all functions I deal with now are non-affine.

    If a is proportional to b and a is prortional to d, which of the following is correct:

    (1) a = k_1 b and a = k_2 d so a = \frac{k_1}{2}b + \frac{k_2}{2}d
    (2) a = k_1 b + k_2 d
    (3) a = k_3 bd

    Thank you!
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  2. #2
    Super Member TheChaz's Avatar
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    Thanks
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    First, observe that (1) actually contains an equivalent statement of the hypothesis:
    a = k_1b and a = k_2c

    So any work should follow these.
    Incidentally, if we add these and then divide by 2, we get (1).
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