Engineering Board Exam Reviewer · Variation & Proportion · easy

Given that w varies directly as the product of x and y and inversely as the square of z, and that w=4 when x=2, y=6, and z=3. What is the value of w when x=1, y=4, and z=2?

  1. 6
  2. 5
  3. 4
  4. 3

Answer

D. 3

Solution

k = wz2/xy = 4(9)/12 = 3. Then w = k(xy)/z2 = 3(1)(4)/4 = 3.

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