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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 ****​

Sagot :

[tex]\color{lime}\underline\mathbb{QUESTION:}[/tex]

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.

[tex]\\[/tex]

Given values:

  • p = 4, q = 2, r = 6

Translation: Combined variation

p varies directly as q and inversely as r

  • p = kq/r

[tex]\\[/tex]

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

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

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

[tex]\\[/tex]

[tex]\color{yellow}\underline\mathbb{ANSWER:}[/tex]

  • The value of p is 1.