Question

If y varies directly as x, and y is 20 when x is 4, what is the constant of variation for this relation?

Answer 1

The variation would be x5. 4*5=20

Answer 2

Answer: 5

Step-by-step explanation:

Let k be the constant of variation for this relation.

If y varies directly as x, then the equation of direct variation is given by ;-

$y=kx$, where k is the constant of variation for the relation.

$\Rightarrow\ k=\dfrac{y}{x}$

Now, for the given value of y = 20 and x=4, the value of  constant of variation is given by :-

$\Rightarrow\ k=\dfrac{20}{4}=5$

Hence, the value of constant of variation for this relation k = 5.