Suppose y varies directly as x and y = 27 when x=3, how do you find x when y = 45?

1 Answer
May 16, 2018

#x=5#

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=27" when "x=3#

#y=kxrArrk=y/x=27/3=9#

#"equation is " color(red)(bar(ul(|color(white)(2/2)color(black)(y=9x)color(white)(2/2)|)))#

#"when "y=45" then"#

#45=9xrArrx=45/9=5#