Identifying Direct Variation

Identifying Direct Variation

Two ALEKs Topics:

• Identifying direct variation equations

• Identifying direct variation from ordered pairs and writing equations.

Multiple Choice

 Is the equation below a direct variation?
If so, what is the constant of variation?

 $2y=5x-1$  

• No - no constant of variation

• No -  $k=\frac{5}{2}$  

• Yes -  $k=\frac{5}{2}$  

• Yes -  $k=\frac{2}{5}$  

• No -  $k=\frac{2}{5}$  

Multiple Choice

 Is the equation below a direct variation?
If so, what is the constant of variation?

 $-12x=6y$  

• No - no constant of variation

• No -  $k=-2$  

• Yes -  $k=-2$  

• Yes -  $k=-\frac{1}{2}$  

• No -  $k=-\frac{1}{2}$  

Multiple Choice

 Is the equation below a direct variation?
If so, what is the constant of variation?

 $5x-6y=0$  

• No - no constant of variation

• No -  $k=\frac{6}{5}$  

• Yes -  $k=\frac{6}{5}$  

• Yes -  $k=\frac{5}{6}$  

• No -  $k=\frac{5}{6}$  

Multiple Choice

 Is the equation below a direct variation?
If so, what is the constant of variation?

 $-x=10y$  

• No - no constant of variation

• No -  $k=-\frac{1}{10}$  

• Yes -  $k=-\frac{1}{10}$  

• Yes -  $k=\frac{1}{10}$  

• No -  $k=\frac{1}{10}$  

Multiple Choice

 Is the equation below a direct variation?
If so, what is the constant of variation?

 $y+8=-x$  

• No - no constant of variation

• No -  $k=-1$  

• Yes -  $k=-1$  

• Yes -  $k=-8$  

• No -  $k=-8$  

Multiple Choice

 Is the equation below a direct variation?
If so, what is the constant of variation?

 $4+7x-4=3y$  

• No - no constant of variation

• No -  $k=\frac{7}{3}$  

• Yes -  $k=\frac{7}{3}$  

• Yes -  $k=\frac{3}{7}$  

• No -  $k=\frac{3}{7}$  

Multiple Choice

Is the following table an example of direct variation?

If so, write the equation for the direct variation.

• No, no equation

• No, $y=2x$

• No, $y=\frac{1}{2}x$

• Yes, $y=2x$

• Yes, $y=\frac{1}{2}x$

Multiple Choice

Is the following table an example of direct variation?

If so, write the equation for the direct variation.

• No, no equation

• No, $y=\frac{2}{3}x$ 

• No, $y=\frac{3}{2}x$ 

• Yes,  $y=\frac{2}{3}x$ 

• Yes,  $y=\frac{3}{2}x$ 

Multiple Choice

Is the following table an example of direct variation?

If so, write the equation for the direct variation.

• No, no equation

• No, $y=\frac{3}{2}x$ 

• No, $y=\frac{2}{3}x$ 

• Yes,  $y=\frac{2}{3}x$ 

• Yes,  $y=\frac{3}{2}x$ 

Multiple Choice

Is the following table an example of direct variation?

If so, write the equation for the direct variation.

• No, no equation

• No, $y=1.4x$ 

• No, $y=-1.4x$ 

• Yes,  $y=-1.4x$ 

• Yes,  $y=1.4x$