Question

In a direct variation, y = 8 when x = 2. Write a direct variation equation that shows therelationship between x and y.Write your answer as an equation with y first, followed by an equals sign.Submit

Answer 1

First of all, we need to remember that in a direct variation, we have the following relationship between x and y:

$\frac{y}{x}=\frac{8}{2}$

Now, we simplify and make a cross multiplication and we have:

$\begin{gathered} \frac{y}{x}=\frac{8}{2} \\ \frac{y}{x}=4 \\ y=4x \end{gathered}$

The equation is y=4x, that is your answer.