Direct and Inverse Variation

y is directly proportional to x. When x= 2, y = 8. Which equation represents this situation?

• $y=4x$
  

• $y=0.25x$
  

• $y=\frac{4}{x}$
  

• $y=\frac{1}{4x}$
  

Is the given table a direct proportion? If so, what is the constant of variation (value of k) ?

• Yes; 1/3

• Yes; 3

• Yes; 5

• No

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.SSE.A.1

CCSS.HSS.ID.C.7

• direct variation
• inverse variation
• neither direct nor inverse variation

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSF.LE.A.2

Suppose y is inversely proportional to the square root of x, k is a constant, which equation represents the situaion?

• $y=\frac{k}{x}$

• $y=\frac{k}{\sqrt{x}}$

• $y=\frac{k}{x^2}$
  

• $y=k\sqrt{x}$
  

Which of the following represents direct variation?

• y = kx
• y = k/x
• y = x/k
• y = mx + b

Tags

CCSS.HSF.BF.A.1

 m is inversely proportional to r.   m = 0.5 when r = 4. Which equation represents this situation?

• 
  

   $m=2r$  

•  $m=\frac{2}{r}$  

•  $r=2m$  

•  $m=\frac{r}{2}$  
  

• direct variation
• inverse variation
• neither direct nor inverse variation

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSF.LE.A.1

What type of variation does this scenario represent?

The outside temperature

and the number of layers of clothes you need to wear outside to feel comfortable

• direct variation

• inverse variation

• none of these

Suppose y is directly proportional to x.

If y = 100 when x = 2, find y when x = 5.

• 200

• 40

• 250

• 50

Is the given table a direct or inverse variation? What is the constant of variation (k)?

• Direct, 12

• Inverse, 12

• Direct, 1/12

• Inverse, 1/12

Tags

CCSS.HSA.CED.A.2

CCSS.HSF.BF.A.1

CCSS.HSF.IF.B.4