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The variable z is inversely proportional to x. When x is 16, z has the value 0.875. What is the value of z when x= 21?

  • LammettHash: For [tex]z[/tex] and [tex]x[/tex] to be inversely proportional, there must be some constant [tex]k[/tex] such that

    [tex]zx=k[/tex]

    Given that [tex]z=0.875[/tex] when [tex]x=16[/tex], it follows that

    [tex]0.875\cdot16=k\implies k=14[/tex]

    Then when [tex]x=21[/tex], we have

    [tex]21z=14\implies z=\dfrac{14}{21}=\approx0.667[/tex]
Inversely proportional

Inversely proportional

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Inversely Proportional

Inversely Proportional

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Inversely Proportional Key Stage Wiki

Inversely Proportional Key Stage Wiki

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Inversely Proportional

Inversely Proportional

Source: fity.club

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