Question

the value of y varies directly with the value of x. when x = ⅙, y = 36. what is the value of y when x = 3? y = type your answer...

Explanation:

Step1: Recall direct variation formula

Direct variation means \( y = kx \), where \( k \) is the constant of variation.

Step2: Find the constant \( k \)

Given \( x=\frac{1}{6} \) and \( y = 36 \), substitute into \( y=kx \):
\( 36=k\times\frac{1}{6} \).
Multiply both sides by 6: \( k = 36\times6=216 \).

Step3: Find \( y \) when \( x = 3 \)

Now use \( y=kx \) with \( k = 216 \) and \( x = 3 \):
\( y=216\times3 = 648 \).

Answer:

648