Question

Use the given values to write an equation that relates x and y.

Answer 1

We are given that "x" and "y" vary inversely. This means that the variables follow the next relationship:

`y=(k)/(x)`

Where "k" is a constant to be determined. To determine "k" we will use the given values:

`\begin{gathered} x=3 \\ y=6 \end{gathered}`

Now, we plug in the values:

`6=(k)/(3)`

Now, we solve for "k" by multiplying both sides by 3:

`\begin{gathered} 6*3=(k)/(3)*3 \\ \\ 18=k \end{gathered}`

Therefore, the value of "k" is 18. Now, we substitute in the relationship:

`y=(18)/(x)`

And thus we get the equation.