If "y" is inversely proportional to "x" and "y"=15 when "x"=5, What is the value of "y" when "x"=25?

1 Answer
May 3, 2018

#y=3#

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=15" when "x=5#

#y=k/xrArrk=yx=15xx5=75#

#"equation is " color(red)(bar(ul(|color(white)(2/2)color(black)(y=75/x)color(white)(2/2)|)))#

#"when "x=25" then"#

#y=75/25=3#