Question

1 point
X varies with the cube of Y, when Z is constant and varies inversely with Z
when Y is constant. If Y = 4 and Z = 8, then X = 12. Find X, when Y = 8 and Z =
24.​

Answer 1

Answer:

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Answer 2

X=1.25 when Y=8 and Z=24

XY=k1, Z=k2, where k1 and k2 are constants

XZ=k3, Y=k4, where k3 and k4 are constants

(Y/Z)=(k1/k3) also (Z/Y)=(k2/k4)

i.e.,  (k1/k3)=(k4/k2)

k1*k2=k3*k4

X1*Y1*Z1=X2*Y2*Z2

12*4*8 = X*8*24

240 = 192*X

X = 240/192

X=1.25

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