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When h is one-half and j is one-third, g is 4. if g varies jointly with h and j, what is the value of g when h is 2 and j is 3? 4 6 24 144

Sagot :

Answer:

  • D) 144

Given

  • g varies jointly with h and j
  • g = 4 when h = 1/2, j = 1/3

To find

  • Value of g when h = 2 and j = 3

Joint variation:

  • g = khj, where k- coefficient

Use given values of h and j, and find the value of k:

  • 4 = k*(1/2)(1/3)
  • 4 = (1/6)k
  • k = 4*6
  • k = 24

The equation is now:

  • g = 24hj

Find the value of g when h is 2 and j is 3:

  • g = 24*2*3 = 144

Correct choice is D