If y varies inversely as x, and y = 5 as x = 6, how do you find y for the x-value of 10?
1 Answer
Jun 11, 2018
Explanation:
#"the initial statement is "yprop1/x#
#"to convert to an equation multiply by k the constant"#
#"of variation"#
#y=kxx1/x=k/x#
#"to find k use the given condition"#
#y=5" when "x=6#
#y=k/xrArrk=yx=5xx6=30#
#"equation is " color(red)(bar(ul(|color(white)(2/2)color(black)(y=30/x)color(white)(2/2)|)))#
#"when "x=10" then"#
#y=30/10=3#