If y varies directly with x and y = 12 when x = 0.5, then what is y when x = 3?

2 Answers
Sunayan S
Feb 11, 2018

#72#

Explanation:

  • # y prop x#
    #=>y=kx" "#where #color(red)(k# is a non-zero variation constant.
    #=>12=kxx0.5#
    #=>k=24#
  • #y=kx#
    #=>y=24xx3=72#

Hope it helps...
Thank you..

Jim G.
Feb 11, 2018

#y=72#

Explanation:

#"the initial statement is "ypropx#

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

#rArry=kxlarrcolor(blue)"k is the constant of variation"#

#"to find k use the given condition"#

#y=12" when "x=0.5#

#y=kxrArrk=y/x=12/0.5=24#

#"direct variation equation is " color(red)(bar(ul(|color(white)(2/2)color(black)(y=24x)color(white)(2/2)|)))#

#"when "x=3" then"#

#y=24xx3=72#

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