For the statement, find the constant of variation and the variation equation. y varies directly as the cube of x; y = 64 when x = 8 Find the constant of variation k. k = (Type an integer or a simplified fraction.) Find the direct variation equation given y = 64 when x = 8. (Type an equation. Use integers or fractions for any numbers in the equation.)
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The statement says "y varies directly as the cube of x." This means the relationship can be expressed as: \[ y = kx^3 \] where \( k \) is the constant of variation. Show more…
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