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1 March, 09:27

Y is inversely proportional to a^3

When a = 2, y = 10

a is directly proportional to x

When x = 4, a = 20

Find a formula for y in terms of x.

Give your answer in its simplest form.

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Answers (1)
  1. 1 March, 12:04
    0
    y = 0.64/x^3

    Step-by-step explanation:

    If y is inversely proportional to a^3, we can write the equation:

    y * a^3 = k

    Using a = 2 and y = 10, we have:

    10 * 2^3 = k

    k = 80

    If a is directly proportional to x, we can write the equation:

    a = c * x

    Using x = 4 and a = 20, we have:

    20 = c * 4

    c = 5

    Now, using the value of a = 5*x in the equation y * a^3 = 80, we have:

    y * (5x) ^3 = 80

    y * 125x3 = 80

    y = 80 / (125x3) = 0.64/x^3
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