Question

Write an equation describing the relationship of the given variables. One term will go within each submission box.

Answer 1

Given an Inverse Variation in which "y" varies inversely as "x", you need to remember the form of an Inverse Variation Equation:

`y=(k)/(x)`

Where "k" is the Constant of variation.

In this case, you know that when:

`x=4`

The value of "y" is:

`y=2`

Then, you can substitute values into the equation and solve for "k":

`\begin{gathered} 2=(k)/(4) \\ \\ 4\cdot2=k \\ k=8 \end{gathered}`

Therefore, the equation describing the relationship given in the exercise has this form:

`y=(8)/(x)`

Hence, the answer is:

- Equation:

`y=(8)/(x)`

- The numerator is:

`8`

- The denominator is:

`x`