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10 October, 20:14

When a = 6 and b = 22, c = 33. If c varies directly with b and inversely with a, which equation models the situation?

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Answers (2)
  1. 10 October, 20:23
    0
    c = 9b/c

    Step-by-step explanation:

    If c varies directly with b and inversely with a, then this may be written mathematically as;

    c = kb/a

    Therefore;

    k = ac/b

    Hence in this case;

    k = (6 * 33) / 22

    = k

    Therefore; the equation connecting the variables is;

    c = 9b/a
  2. 10 October, 20:29
    0
    c = 9b/a

    Step-by-step explanation:

    The statement "y varies directly as x," means that when x increases, y increases by the same factor. The statement "y varies inversely as x means that when x increases, ydecreases by the same factor.

    Then, we can say that:

    c ∝ b, thus c = kb and c = k/a.

    Using both equations we have that:

    c = kb/a

    Given that a=6, b=22 and c=33 we have that:

    33 = 22k/6

    Solving for k:

    k=9.

    Then the equation that models the situation is:

    c = 9b/a
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