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Q varies inversely with x. if q = 12 when x = 5, find the value of q when x = 12.

User Fintelia
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Inverse Variation

Q varies inversely with x. if q = 12 when x = 5, find the value of q when x = 12.

q varies inversely as x: qx = k, such k is constant

Given values:

  • q = 12
  • x = 5

To determine the constant of variation, substitute the first two given values of q and x to the equation of variation.

  • qx = k
  • (12)(5) = k
  • 60 = k

To determine the value of q, substitute the second given value of x together with the constant of variation.

  • x = 12, q = ?
  • qx = 60
  • 12q = 60
  • q = 60/12
  • q = 5

Answer:

  • The value of q is 5.

Wxndy~~

User Kayakpim
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