# Direct variation

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##### Examples
###### Lessons
1. Identifying direct variations by table of values
Do the following tables of values represent direct variation?

1. Identifying direct variations
Which of the following represent direct variation?

A. $y$ = 2

B. $y$ = 3.1$x$

C. $y = - \frac{7x}{9}$

D. $xy$ = 191

E. $y$ = 8$x$ + 5
1. Variable $y$ varies directly with $x$. Determine $m$ and $n$

1. If $a$ varies directly as $b$, and $b$ = 4 when $a$ = 16, find $a$ when $b = \frac{3}{2}$
1. If the volume of an object varies directly as the cube of its height, and the volume equals 40$ft^{3}$ when the height is 2$ft$, find the object's volume when its height equals $\frac{1}{3} ft$
###### Topic Notes
Direct Variation:
$y$ varies directly with $x$ with a constant variation of $k$

$y = kx$

where
$k \neq$ 0