If #y=15# when #x=-18#, what is #y# when #x=1# and #y# varies directly with #x#?

1 Answer
May 15, 2018

#y=-5/6#

Explanation:

#"the initial statement is "ypropx#

#"to convert to an equation multiply by k the constant"#
#"of variation"#

#rArry=kx#

#"to find k use the given condition"#

#y=15" when "x=-18#

#y=kxrArrk=y/x=15/(-18)=-5/6#

#"equation is "color(red)(bar(ul(|color(white)(2/2)color(black)(y=-5/6x)color(white)(2/2)|)))#

#"when "x=1" then"#

#y=-5/6xx1=-5/6#