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Use the given information to find the unknown value:y varies inversely with a. When x = 4, then y= 4. Find y when I = 2.Iyy =help (numbers)

Use the given information to find the unknown value:y varies inversely with a. When-example-1

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Inverse variation:


y=(k)/(x)

k is a constant

Use the given information (when x=4 y=4) to find the value of the constant:


\begin{gathered} 4=(k)/(4) \\ \\ \text{Multiply both sides of the equation by 4:} \\ 4*4=4*(k)/(4) \\ \\ 16=k \\ \\ \\ k=16 \end{gathered}

Then, the given relationship has the next equation:


y=(16)/(x)

Use the equation above to find y when x=2:


\begin{gathered} y=(16)/(2) \\ \\ y=8 \end{gathered}Then, when x=2, y=8
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