Chapter 11.1, Problem 7CYU

To determine

To Find: The inverse equation that relates $x$ and $y$ and graph it.

Answer to Problem 7CYU

  $y=\frac{-30}{x}$

Explanation of Solution

Given: Assume that $y$ varies inversely as $x$ and $y=3$ when $x=-10$

Given: $y=3$ when $x=-10$

Rule for Inverse variation

  $xy=k$

Thus

  $\begin{array}{l}xy=k\\ (-10)(3)=k\\ k=-30\end{array}$

So, the equation becomes

  $\begin{array}{l}xy=-30\\ y=\frac{-30}{x}\end{array}$

Now plotting points to make the table for the equation

  

Then

The graph is