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30 December, 01:58

Y is inversely proportional to the cube of x. If Y = 3 when x = 2, find Y, when x is 3. Write a proportion. Solve for y. Show work.

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  1. 30 December, 02:15
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    "Y is inversely proportional to the cube of x" translates to Y = kx ³ where k is unknown constant. We need to solve for k.

    So we have Y = 3 and x = 2. Plug in and we get 3 = k2³ = 8k

    So k = 3/8

    Now we can solve for Y when x = 3

    Y = (3/8) 3³ = (3/8) 27 = 81 / 8

    Final answer: 81 / 8
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