Wenn "y" umgekehrt proportional zu "x" und "y" = 15 ist, wenn "x" = 5 ist, wie lautet der Wert von "y", wenn "x" = 25 ist?

Antworten:

#y=3#

Erläuterung:

#"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#