Question

Suppose y varies directly as x, and y=2 when x=4. Which of the following statements is true?

Answer 1

The constant of variation is 1/2.

Explanation:

y = kx where k is the constant of variation.

So k = y/x = 2/4 = 1/2.

Answer 2

constant of variation =
`(1)/(2)`

Explanation:

Given y varies directly as x then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition y = 2 when x = 4

k =
`(y)/(x)` =
`(2)/(4)` =
`(1)/(2)`