Answer:
[tex]\boxed{42}[/tex]
Step-by-step explanation:
The formula for direct variation is
y = kx
1. Calculate the value of k
y = 14 when x = 2
[tex]\begin{array}{rcl}14& = & k \times 2\\k & = & \dfrac{14}{2}\\& = & 7\\\end{array}[/tex]
2. Value of y
k =7; x = 6
[tex]\begin{array}{rcl}y & = & 7 \times 6\\ & = & \mathbf{42}\\\end{array}\\y = \boxed{\mathbf{42}} \text{ when x = 6}[/tex]
