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6 April, 03:53

Suppose the numbers A and B are directly proportional. Given that A = 6 when B = 14, what is the value of B if A = 9?

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Answers (2)
  1. 6 April, 03:55
    0
    21

    Step-by-step explanation:

    Old A: 6 New A: 9

    Multiply 6 by 1.5 to get 9.

    Therefore multiply 14 by 1.5 as well, which gives you 21.
  2. 6 April, 04:06
    0
    21

    Step-by-step explanation:

    The equation for direct proportion is

    A = kB

    We know A and B

    6 = k (14)

    Divide by 14

    6/14 = 14k/14

    3/7 = k

    Rewriting

    A = 3/7 B

    Given A = 9

    9 = 3/7B

    Multiply each side by 7/3 to isolate B

    7/3 * 9 = 7/3 * 3/7 B

    21 = B
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