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2. If p varies directly as q and inversely as r, and p = 4 when q = 2 and r = 6, find p when q = 4 and r = 8. *** GOD BLESS ****

Written by Winona · 18 sec read >


2. If p varies directly as q and inversely as r, and p = 4 when q = 2 and r = 6, find p when q = 4 and r = 8. *** GOD BLESS ****​

\color{lime}nderline\mathbb{QUESTION:}

If p varies directly as q and inversely as r, and p = 4 when q = 2 and r = 6, find p when q = 4 and r = 8.

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Given values:

  • p = 4, q = 2, r = 6

Translation: Combined variation

p varies directly as q and inversely as r

  • p = kq/r

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===================================

  • p = kq/r
  • 4 = k · 2/6
  • 4 · 6 = 2k
  • 24 = 2k
  • 24/2 = k
  • 12 = k

———————————-

  • p = ?, q = 4, r = 8
  • p = 2q/r
  • p = 2 · 4/8
  • p = 8/8
  • p = 1

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\color{yellow}nderline\mathbb{ANSWER:}

  • The value of p is 1.


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