Question

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

Answer 1

D. 144

Explanation:

Answer 2

• 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