Examples

y = \frac{7}{2} x

$y = \frac{7}{2} x$

Step 1

Combine

\frac{7}{2}

$\frac{7}{2}$ and

x

$x$ .

y = \frac{7 x}{2}

$y = \frac{7 x}{2}$

Step 2

Since the equation can be written in the form

y = k x

$y = k x$ ,

y

$y$ varies directly with

x

$x$ and

k

$k$ . The constant of variation,

k

$k$ , is

\frac{7}{2}

$\frac{7}{2}$ .

\frac{7}{2}

$\frac{7}{2}$

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⎡ ⎢ ⎣ \begin{matrix} x^{2} & \frac{1}{2} \sqrt{π} & \int x d x \end{matrix} ⎤ ⎥ ⎦

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$