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13 October, 02:33

If y varies inversely as x and y is 6 when x is 12, what is x when y is 14.4?

a. 5

b. 0.4

c. 9.6

d. 2.5

+5
Answers (2)
  1. 13 October, 05:43
    0
    Answer: (a)

    Step-by-step explanation:

    Inversely: y = k/x, x = k/y

    6 = k/12

    k = 72

    x = 72/14.4 = 5
  2. 13 October, 06:00
    0
    a 5

    Step-by-step explanation:

    The formula for inverse variation is

    xy = k

    We know y=6 and x=12

    12*6 = k

    72 = k

    xy = 72

    We want to find x when y = 14.4

    x*14.4 = 72

    Divide each side by 14.4

    x*14.4/14,4 = 72/14.4

    x = 5
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