2.2 & 8.1 Variation Functions Homework

If y varies directly with x and y is 18 when x is 6, which of the following represents this situation?

• $y=24x$

• $y=3x$

• $y=12x$

• $y=\frac{1}{3}x$

Which function best represents the relationship between the quantities in the table?

• $x=\frac{2}{3}y-2$

• $x=\frac{2}{3}y+2$

• $y=\frac{2}{3}x$

• $y=\frac{3}{2}x$

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

If y varies directly with x and y is 9 when x is 5, what is x when y is -1?

• 
  

  $-1$
  

• $-\frac{5}{9}$

• $1$

• $\frac{5}{9}$

Which equation of direct variation has

 $\left(24,\ -8\right)$  as a solution?

•  $y=\frac{1}{3}x$  

•  $y=-3x$  

•  $y=3x$  

•  $y=-\frac{1}{3}x$  

Which equation does NOT represent a direct variation?

• 
  

  $y-4x=0$
  

• $\frac{y}{x}=\frac{3}{4}$

• $y-4=\frac{1}{4}x$

• $4y=-\frac{1}{4}x$

Which equation represents inverse variation between x and y?

• 
  

  $4y=kx$
  

• $xy=4k$

• $y=4kx$

• $4k=\frac{x}{y}$

The ordered pair

 $\left(3.5,\ 1.2\right)$  is from an inverse variation. what is the constant of variation?

• 2.3

• 2.9

• 4.2

• 4.7

Suppose x and y vary inversely, and

 $x=4$   when  $y=9$  . Which function models the inverse variation?

•  $y=\frac{36}{x}$  

•  $x=\frac{y}{36}$  

•  $y=\frac{x}{36}$  

•  $\frac{x}{y}=36$  

Suppose x and y vary inversely, and $x=-3$ 

when  $y=\frac{1}{3}$  . What is the value of y when  $x=9$  ?

•  $-9$  

•  $-1$  

•  $-\frac{1}{9}$  

•  $\frac{1}{9}$  

In which function does t vary jointly with q and r and inversely with s?

• 
  

  $t=\frac{kq}{rs}$
  

• $t=\frac{ks}{qr}$

• $t=\frac{s}{kqr}$

• $t=\frac{kqr}{s}$