Question

Instructions: If varies inversely as and =2 when =8, find when =2. Write the equation using the given information, then use the equation to solve for . Use the forward slash (i.e. "/") for all fractions (e.g. -1/2 is the same as −12).

Answer 1

Given that;

varies inversely as

`\begin{gathered} y\propto x \\ The\text{ expression ecomes the equation below} \\ y=kx \\ Where\text{ k is the constant} \end{gathered}`

=2 when =8,

`\begin{gathered} y=kx \\ 2=k(8) \\ k=(2)/(8)=(1)/(4) \\ k=(1)/(4) \end{gathered}`

The equation becomes

`\begin{gathered} y=kx \\ y=(1)/(4)x \end{gathered}`

The value of when =2

`\begin{gathered} y=(1)/(4)x \\ y=(1)/(4)(2)=(2)/(4)=(1)/(2) \\ y=(1)/(2) \end{gathered}`

Hence, y = 1/2