The variables x=-0.3 and y=2.2 varies directly. How do you write an equation that relates the variables and find x when y=-5?

1 Answer
Sep 13, 2017

#y=-22/3x,x=15/22#

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"#

#x=-0.3" and "y=2.2#

#y=kxrArrk=y/x=(2.2xx10)/(-0.3xx10)=-22/3#

#"equation is " color(red)(bar(ul(|color(white)(2/2)color(black)(y=-(22x)/3)color(white)(2/2)|)))#

#"when "y=-5#

#x=-(3y)/22=-(3xx-5)/22=15/22#