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6. Suppose that y varies inversely with x. Use the information to find k, and then choose the equation of variation. x = 2 when y = 2.Ok = 1, y = 1xk = 4, y = 4x4= 4, y = 2 / 24= 1, y = 1/2

6 Suppose that y varies inversely with x Use the information to find k and then choose the equation of variation x 2 when y 2Ok 1 y 1xk 4 y 4x4 4 y 2 24 1 y 12 class=

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ANSWER:

k = 4, y = 4/x

STEP-BY-STEP EXPLANATION:

Since they are inverses they have the following form the equation

[tex]y=k\cdot\frac{1}{x}[/tex]

now, x = 2 and y = 2, therefore, replacing and solving for k:

[tex]\begin{gathered} 2=k\cdot\frac{1}{2} \\ k=2\cdot2 \\ k=4 \end{gathered}[/tex]

We replace and we would have the equation

[tex]\begin{gathered} y=4\cdot\frac{1}{x} \\ y=\frac{4}{x} \end{gathered}[/tex]

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