# Direct variation. If y=6 when x=2/3, find x when y=12. ?

##### 3 Answers

May 22, 2018

#### Explanation:

In a direct variation if y is double then x is doubled.

so

#### Explanation:

It is assumed that since the y is doubled, then x is doubled, so x would be

May 22, 2018

#### Explanation:

#"the initial statement is "ypropx#

#"to convert to an equation multiply by k the constant"#

#"of variation"#

#rArry=kx#

#"to find k use the given condition"#

#y=6" when "x=2/3#

#y=kxrArrk=y/x=6/(2/3)=(3xx6)/2=9#

#"equation is " color(red)(bar(ul(|color(white)(2/2)color(black)(y=9x)color(white)(2/2)|)))#

#"when "y=12" then"#

#9x=12rArrx=12/9=4/3#