Direct variation

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Identifying direct variations by table of values
Do the following tables of values represent direct variation?
Identifying direct variations
Which of the following represent direct variation?

A. $y$ $y$ = 2

B. $y$ $y$ = 3.1 $x$ $x$

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

D. $xy$ $x y$ = 191

E. $y$ $y$ = 8 $x$ $x$ + 5
Variable $y$ $y$ varies directly with $x$ $x$ . Determine $m$ $m$ and $n$ $n$
If $a$ $a$ varies directly as $b$ $b$ , and $b$ $b$ = 4 when $a$ $a$ = 16, find $a$ $a$ when $b = \frac{3}{2}$ $b = \frac{3}{2}$
If the volume of an object varies directly as the cube of its height, and the volume equals 40 $ft^{3}$ $f t^{3}$ when the height is 2 $ft$ $f t$ , find the object's volume when its height equals $\frac{1}{3} ft$ $\frac{1}{3} f t$