If y varies directly with x, and y=36 when x=9, how do you find x when y=52?

1 Answer
Jim G.
May 20, 2018

#x=13#

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=36" when "x=9#

#y=kxrArrk=y/x=36/9=4#

#"equation is " color(red)(bar(ul|color(white)(2/2)color(black)(y=4x)color(white)(2/2)|))#

#"when "y=52" then"#

#4x=52rArrx=52/4=13#

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