# If y varies directly as x and y=3 when x= 2, find y when x=8?

##### 2 Answers

May 15, 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=3" when "x=2#

#y=kxrArrk=y/x=3/2#

#"equation is " color(red)(bar(ul(|color(white)(2/2)color(black)(y=3/2x)color(white)(2/2)|)))#

#"when "x=8" then"#

#y=3/cancel(2)^1xxcancel(8)^4=3xx4=12#

May 15, 2018

#### Explanation:

Given :

When