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The variation equation that connects x and y is y³ = 4.5x(x - 1) and the value of y is 4.48 when x equals  5The equation that connects x and y?From the question, the variation statement is given asThe cube of y is directly proportional to x(x - 1)Also, we have the initial values of x and y to bex = 3 and y= 3When the variation statement is represented as an equation, we have:y³ = kx(x - 1)Where k is the variation constantSubstitute the known values in the above equation So, we have the following equation3³ = k x 3 x (3 - 1)Evaluate27 = 6kDivide both sides by 6k = 4.5Substitute k = 4.5 in y³ = kx(x - 1)y³ = 4.5x(x - 1)Hence, the equation is y³ = 4.5x(x - 1)The value of yHere, we are given thatx = 5Substitute 5 for x in the equation y³ = 4.5x(x - 1)So, we havey³ = 4.5 x 5 x (5 - 1)Evaluatey³ = 90Take the cube root of both sidesy = 4.48Hence, the value of y is 4.48Read more about variation athttps://brainly.com/question/6499629#SPJ1