12.2 Solving Inverse Variation Equations

Solve.

 $\frac{8}{x}=4$  

• x=2

• x=32

• x=1/2

• x=4

Solve.

 $\frac{16}{x}=12$  

• x=-4

• x=0.75

• x=1.3

• x=192

Solve.

 $\frac{16}{x}=x^{ }$  

• x=4

• x=-4

• x=-4 and x=4

• no solution

Solve.

 $\frac{15}{x}=x$  

• x=-3.87 and x=3.87

• x=-3.87

• x=3.87

• no solution

Solve.

 $\frac{-16}{x}=x+8$  

• x=4

• x=-4

• x=-4 and x=4

• no solution

 $x-7=\frac{18}{x}$  

• x=-2

• x=9

• x=-2 and x=9

• no solution

 $\frac{9}{x}=-x-2$  

• x=-2.162

• x=4.162

• x=-2.162 and x=4.162

• no solution

The number of hours it takes to paint a house can be modeled by the equation  $y=\frac{12}{x}$  , where x represents the number of people painting. If there are 3 people painting, how many hours will it take them to paint the house? 

• 4 hours

• 48 hours

• 16 hours

• 3 hours

The number of hours it takes to paint a house can be modeled by the function  $y=\frac{12}{x}$  , where x is the number of people painting. If the house needs to be painted in 2 hours, how many people should be hired to paint?

• 12 people

• 24 people

• 2 people

• 6 people

The band is trying to raise money for their program. The are going to sell boxes of fruit and the number of boxes they can afford to sell depends on the price per box, p, according to the function  $n\left(p\right)=\frac{4800}{p}$  . The number of boxes that customers will purchase also depends on the price, p, according to the function  $c\left(p\right)=600-12p$  . For what price per box will the number of boxes they buy equal the number of boxes that will be sold?

• p=$10

• p=$40

• P=$10 and $40

• p=$480 and $120