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3 July, 20:11

Suppose y varies jointly as x and z. Find y when x=-9 and z=23, if y=117 when x=-3 and z=-11. Round your answer to the nearest hundredth, if necessary. Select one:

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Answers (2)
  1. 3 July, 20:28
    0
    -733.909

    Step-by-step explanation:

    To find the answer to this question, we need to know the constant of variation.

    The procedure to get the values is

    Y ∞ X * Z

    Y = k*x*z

    When y = 117, x = - 3 and z = - 11

    Put this values in that equation above and we have the value of X

    117 = - 11 * - 3 * k

    117 = 33k

    K = 117/33

    K = 3.545

    Now that we have the constant of variation needed to get the value of either y, x or z whenever we have 2 other figures

    So when x = - 9 and z = 23

    Y = - 9 * 23 * 3.545

    Y = - 733.909
  2. 3 July, 20:39
    0
    The value of y given the values of x and z in the question is - 734.85

    Step-by-step explanation:

    This is a joint variation question.

    First, we are made to know that y varies jointly as x and z.

    The equation for this can be written as;

    y = k * x * z

    Where k is the constant of proportionality.

    Let's calculate k first.

    117 = k * (-3) * (-11)

    33k = 117

    K = 117/33 = 3.55

    Now, we proceed to get what y is when x = - 9 and z = 23

    Let's plug these values into the initial equation written.

    y = k * x * z

    We use the value of k calculated above;

    y = 3.55 * (-9) * (23) = - 734.85
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