Se "y" for inversamente proporcional a "x" e "y" = 15 quando "x" = 5, qual é o valor de "y" quando "x" = 25?

#"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#