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#
