# Y varies inversely as X, and Y = 1/5 when X = 35, how do you find the variation constant and the equation of variation for the given situation?

##### 1 Answer

May 14, 2017

#### Answer:

#### Explanation:

#"the initial statement is " yprop1/x#

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

#"of variation"#

#rArry=kxx1/x=k/x#

#"to find k, use the given condition"#

#y=k/xrArrk=yx#

#"when x= 35 " y=1/5#

#rArrk=1/5xx35=7#

#"equation of variation is " color(red)(bar(ul(|color(white)(2/2)color(black)(y=7/x)color(white)(2/2)|)))#