Question

4. Problem 15: For the function, y varies directly with x. Find the constant of
variation. Then find the value of y when x = -0.3.
y = 4 when x = -3

Answers

  1. The constant of variation is -4/3 and the value of y when x = -0.3 is 0.4

    How to determine the value of y when x = 4?

    The given parameters are:
    y is directly proportional to  x.
    This is represented as:
    y = kx
    Where k represents the constant of variation
    When x = -3, y = 4.
    This gives
    4 = k * -3
    Divide both sides by -3
    k = -4/3
    This means that the constant of variation is -4/3
    Substitute k = -4/3 in y = kx
    y = -4/3x
    When x = -0.3, we have
    y = -4/3 * -0.3
    Evaluate
    y = 0.4
    Hence, the value of y when x = -0.3 is 0.4
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