Question

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)

Answer 1

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