If y is inVeraly proportional to (2x+1) and y=5 when x=5,find y when x=17?

1 Answer
Jim G.
Feb 21, 2018

#y=11/7#

Explanation:

#"the initial statement is "yprop1/(2x+1)#

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

#rArry=kxx1/(2x+1)=k/(2x+1)larrcolor(blue)"k is constant"#

#"to find k use the given condition"#

#y=5" when "x=5#

#y=k/(2x+1)rArrk=y(2x+1)=5xx11=55#

#"equation is "color(red)(bar(ul(|color(white)(2/2)color(black)(y=55/(2x+1))color(white)(2/2)|)))#

#"when "x=17" then"#

#y=55/35=11/7#

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