Answered

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 :

Answer:

y = (1/4)x

Explanation:

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

[tex]\begin{gathered} x\propto y \\ x=ky \end{gathered}[/tex]

where k is a constant.

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

[tex]\begin{gathered} 12=3k \\ k=\frac{12}{3} \\ k=4 \end{gathered}[/tex]

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

[tex]\begin{gathered} x=4y \\ y=\frac{1}{4}x \end{gathered}[/tex]

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