How do you write the direct variation equation if y=4 when x=16, find y when x=6?

1 Answer
Apr 6, 2018

#y=3/2#

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=4" when "x=16#

#y=kxrArrk=y/x=4/16=1/4#

#"equation is " color(red)(bar(ul(|color(white)(2/2)color(black)(y=1/4x)color(white)(2/2)|)))#

#"when "x=6" then "#

#y=1/4xx6=6/4=3/2#