# If y varies inversely as x, and y = 2/5 when x = 2, how do you find y when x = 1?

##### 1 Answer

Mar 28, 2018

#### 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=2/5" when "x=2#

#y=k/xrArrk=yx=2/5xx2=4/5#

#"equation is " color(red)(bar(ul(|color(white)(2/2)color(black)(y=4/(5x))color(white)(2/2)|)))#

#"when "x=1rArry=4/(5xx1)=4/5#