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solve for the constant of variation if p varies jointly as q and r and p=4 when q=6 and r=3

Sagot :

Variation Equation:

p = kqr

Plug-in the values of p, q, and r to solve for constant k:

4 = k (6)(3)

4 = k 18

[tex] \frac{4}{18} [/tex]= [tex] \frac{k(18)}{18} [/tex]

k = [tex] \frac{4}{18} [/tex]   

k = ²/₉

ANSWER:  The constant (k) of joint variation is ²/₉.

Check: 

4 = (²/₉)(6)(3)
4 = (²/₉)(18)
4 = ³⁶/₉
4 = 4