Direct and inverse variation

Does the equation,  $x\ +\ y\ =6$  show direct variation?

• Yes, it can be written as  $y\ =\ kx$  

• No, it can not be written as  $y=kx$  

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.SSE.A.1

CCSS.HSA.SSE.B.3

Does this equation, show direct variation? $y\ -\ x\ =0$  

• Yes, because  $y=x$  

• No, because it doesn't go through the origin.

• Yes, because x and y are friends.

• No, because x and y vary inversly.

Does the equation,  $\frac{x}{y\ }=20$  show direct variation?

• No, equation cannot be written as  $y=kx$  

• Yes, because x is greater than y.

• Yes, because  it can be written as  $y\ =\frac{x}{20}$  

• No, because  $y=\frac{x}{20}$  

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.SSE.A.1

CCSS.HSA.CED.A.4

• Yes because it has a constant rate , goes through the origin and can be written in form  $y=kx$  

•  No, because it does not go through the origin.

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.LE.A.2

CCSS.HSF.IF.B.4

CCSS.HSF.LE.A.1

CCSS.HSS.ID.C.7

Tell whether x and y show direct variation, inverse variation or neither.
 $\frac{x}{y}=6$  

• direct variation because  $y=\frac{x}{6}$  

• inverse variation because  $y=\frac{6}{x}$  

• neither

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.SSE.A.1

CCSS.HSF.BF.A.1

Tell whether x and y show direct variation, inverse variation or neither.  $3x+y=7$  

• Direct variation because  $y=-3x$  

• Inverse variation because  $y=\frac{3x}{7}$  

• Niether, because $y=-3x\ +7$  

Tags

CCSS.HSA.CED.A.2

Tell whether x and y show direct variation, inverse variation or neither.  $8y=4x$  

• Direct variation because  $y=\frac{1}{2}x$  

• Inverse variation because  $y=\frac{2}{x}$  

• Nether because  $y=4x\ -8$  

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.SSE.A.1

Tell whether x and y show direct variation, inverse variation or neither.  $xy=12$  

• Direct variation because $y=12x$  

• Inverse variation because  $y=\frac{12}{x}$  

• Neither because  $y=x-12$  

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.SSE.A.1

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.2

• $y=5x$

• $y=\frac{5}{x}$

• $y=10x$

• $y=\frac{x}{10}$

Tags

CCSS.8.F.A.2

CCSS.8.F.B.4

• No, doesn't go through the origin.

• No, does not have a constant rate.

• Yes, because $m=60.5h$

• Yes, because $h=60.5m$

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.SSE.A.1

CCSS.HSA.REI.D.10