Question

The following table is an example of inverse variation.X Y 4 48 6 32 8 24 16 12 Which equation models the relationship between x and y? A) x=4/3 y B) x=y/192 C) y=192/x D) y=12x

Answer 1

C) y = 192/x

Step-by-step explanation:

Since from the given table, we're told that the relationship between the two variables, x and y, is inverse variation. All we need to do now is to determine the constant of proportionality, k, as shown below;

`\begin{gathered} y\propto(1)/(x) \\ y=(k)/(x) \\ k=yx \end{gathered}`

When x = 4, and y = 48, let's solve for x;

`\begin{gathered} k=48*4 \\ k=192 \end{gathered}`

So if we substitute the value of x into our equation, we'll have;

`y=(192)/(x)`