# How do you find the direct variation equation if y varies directly as x when #x=4#, #y=48#?

##### 1 Answer

Mar 25, 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"#

#"when "x=4,y=48#

#y=kxrArrk=y/x=48/4=12#

#"equation is " color(red)(bar(ul(|color(white)(2/2)color(black)(y=12x)color(white)(2/2)|)))#