Inverse variation guided notes

1
Inverse variation guided notes

• The formula for inverse variation can be written
  as yk/x where k is the constant of variation.
• In other words
• As X increases in value, Y decreases or
• As X decreases in value, Y increases.

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Graph of inverse variationNotice how the line
curves and never touches an axis!
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Steps for solving inverse variation

• 1. Start with the direct variation equation
• y k/x
• Substitute for x and y
• Solve for k
• Substitute the value of k and write the equation

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Lets go step by step

• Find the equation of variation where y varies
  inversely as x.
• Y 47 when x.8
• Yk/x write the equation
• 47k/.8 substitute for x and y
• 37.6 k solve for k
• Y37.6x re-write the equation

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Look!!!

• Follow that same pattern when solving all inverse
  variation problems!
• You already know how to solve one step equations,
  so apply that knowledge here. Undo division with
  multiplication!!

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Practice Problems ?

• X varies inversely with Y in all of these
  problems. Use the formula to solve then re-write
  the equation
• If x8 when y2 find K
• If y43 when x 6 find K
• If x5 when y7, find K
• If x24 when y3 find K