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Tenth Grade (Grade 10) Direct and Inverse Variation Questions

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Grade 10 Direct and Inverse Variation
When the ratio of two variables is constant, their relationship can be described as
  1. inversely proportional
  2. interdependent
  3. directly proportional
  4. parallel
Grade 10 Direct and Inverse Variation
Grade 10 Direct and Inverse Variation CCSS: HSA-CED.A.2
Grade 10 Direct and Inverse Variation
Grade 10 Direct and Inverse Variation CCSS: HSA-CED.A.2
The amount [math]x[/math] varies inversely to [math]y[/math]. Which equation expresses the given statement?
  1. [math]y=kx[/math]
  2. [math]x=ky[/math]
  3. [math]y=k/x[/math]
  4. [math]-x=k/y[/math]
Grade 10 Direct and Inverse Variation CCSS: HSA-CED.A.2
Write the equation to describe the variation: L varies jointly with the square of x and the fourth root of y; L = 9 when x = 3 and y = 1.
  1. [math]L=x^2 root4y[/math]
  2. [math]L=x^2 y^4[/math]
  3. [math]L=root2x root4y[/math]
  4. [math]x=L^2 root4y[/math]
Grade 10 Direct and Inverse Variation CCSS: HSA-CED.A.2
y varies inversely as the cube of x. If y = 5 when x = 2, find y when x = 6.
  1. [math]5/27[/math]
  2. [math]10/54[/math]
  3. [math]20/108[/math]
  4. [math]1 1/9[/math]
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