Question

The values of x and y vary directly and one pair of values are given. Write an equation that relates x and y. Simplify completely. x = 12, y = 3 .y=?/? x

Answer 1

y = (1/4)x

Step-by-step explanation:

We're told from the question that x and y vary directly, we can represent that as shown below;

`\begin{gathered} x\propto y \\ x=ky \end{gathered}`

where k is a constant.

When x = 12 and y = 3, let's go ahead and solve for k;

`\begin{gathered} 12=3k \\ k=(12)/(3) \\ k=4 \end{gathered}`

If we substitute the value of k into our initial equation, we'll have;

`\begin{gathered} x=4y \\ y=(1)/(4)x \end{gathered}`