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

Solution:

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,

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

The equation becomes

$\begin{gathered} y=kx \\ y=\frac{1}{4}x \end{gathered}$

The value of when =2

$\begin{gathered} y=\frac{1}{4}x \\ y=\frac{1}{4}(2)=\frac{2}{4}=\frac{1}{2} \\ y=\frac{1}{2} \end{gathered}$

Hence, y = 1/2