Question

the value of y is directly proportional to the value of x. when x = 18, the value of y is 3. what is the value of y when x = 2?
options: \\(\frac{1}{6}\\), \\(\frac{1}{3}\\), 6, 12, 54

Explanation:

Step1: Define direct proportion

$y = kx$, where $k$ is the constant of proportionality.

Step2: Solve for $k$

Substitute $x=18$, $y=3$:
$3 = k \times 18$
$k = \frac{3}{18} = \frac{1}{6}$

Step3: Find $y$ when $x=2$

Use $y = \frac{1}{6}x$:
$y = \frac{1}{6} \times 2$

Answer:

$\frac{1}{3}$