Question

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

Answer 1

Answer:

constant of variation = $\frac{1}{2}$

Step-by-step 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 = $\frac{y}{x}$ = $\frac{2}{4}$ = $\frac{1}{2}$

Answer 2

Answer:

The constant of variation is 1/2.

Step-by-step explanation:

y = kx where k is the constant of variation.

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