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1. If y varies inversely as x and y=2 when x=4, find y when x=24.
2. If y is inversely proportional as x and y= -4 when x=20, find y when x = - 10.
3. If y varies inversely as x and y = 64 when x= 3, find y when x= - 4.​


Sagot :

INVERSE VARIATION:

Answer the following.

1) If y varies inversely as x and y=2 when x=4, find y when x=24.

EQUATION: y = k/x

  • 2=k/4
  • k=2×4
  • k=8
  • y = 8/24
  • y=2/6 = 1/3

Answer: y = 1/3

2) If y is inversely proportional as x and y= -4 when x=20, find y when x = - 10.

EQUATION: y = k/x

  • -4=k/20
  • k=(-4)(20)
  • k=-80
  • y = -80/-10
  • y=8

Answer: y=8

3) If y varies inversely as x and y = 64 when x= 3, find y when x= - 4.

EQUATION: y = k/x

  • 64=k/3
  • k=(64)(3)
  • k=192
  • y = 192/-4
  • y=-48

Answer: -48

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