Suppose X varies jointly as the square of Y and cube root of Z and inversely as the fifth power of W. If X = 6.75 when Y = 8, Z = 27, and W = 4, find X when Y = 16, Z = 163 and W = 12. Round only the final answer to 4 decimal places.

Answer 1

X = k * Y^2 * Z^(1/3) / W^5

6.75 = k * 8^2 * 27^(1/3) / 4^5

solve for k (the constant of variation)

then use it with the 2nd set of values to find X