### Home > PC3 > Chapter 3 > Lesson 3.1.5 > Problem3-77

3-77.

If $y$ varies inversely as $x+6$ and $y=1$ when $x=1$, complete the following problems.

1. Express $y$ as a function of $x$.

If $y$ varies inversely as $x$, then $y=\frac{k}{x}$.

$y=\frac{k}{x+6}$

Use the fact that $y=1$ when $x=1$ to solve for $k$.

Substitute $k$ back into your original equation.
To write $y$ as a function of $x$, change $y=$ to $f(x)=$ .

1. What is the value $y$ when $x=0$?