Question

1. what direct - variation equation can you use to find the value of x when y = 2 if y = \frac{8}{3} when x = 8?\

\bigcirc \\ \frac{1}{3}=2x\
\bigcirc \\ y = \frac{1}{3}x\
\bigcirc \\ x = 2y\
\bigcirc \\ 2 = \frac{1}{3}x

Explanation:

Step1: Recall direct variation formula

Direct variation: $y = kx$

Step2: Calculate constant k

Substitute $y=\frac{8}{3},x=8$: $\frac{8}{3}=k×8$ → $k=\frac{1}{3}$

Step3: Form equation for y=2

$2=\frac{1}{3}x$ matches the option.

Answer:

2 = $\frac{1}{3}x$