Question

5. Suppose y varies directly with x, and y= 14
when x= 2. What is y when x = 6?

Answer 1

`\boxed{42}`

Explanation:

The formula for direct variation is

y = kx

1. Calculate the value of k

y = 14 when x = 2

`\begin{array}{rcl}14& = & k * 2\\k & = & (14)/(2)\\& = & 7\\\end{array}`

2. Value of y

k =7; x = 6

`\begin{array}{rcl}y & = & 7 * 6\\ & = & \mathbf{42}\\\end{array}\\y = \boxed{\mathbf{42}} \text{ when x = 6}`