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

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02-01-2016
Math

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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

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Анонимidn Анонимidn · Answer 1 · 2016-01-03T11:00:56+08:00

Анонимidn Анонимidn

03-01-2016

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

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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

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