# If y varies directly with x and y=20 when k=4, what is the value of x?

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Sep 14, 2016

$5$

#### Explanation:

If $y$ is directly proportional to $x$ then there exists $k \in \mathbb{R}$ such that $y = k x$.
In this case, $y = 4 x$.

Hence $x = \frac{y}{k} = \frac{20}{4} = 5$

Graphically :

graph{4x [-46.22, 46.25, -23.1, 23.16]}

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