Y is inversely proportional to √x . When x = 9, y = c, where c is a constant. When x=25, y = c-16. Show that when x=36, y = 20?

1 Answer
Jim G.
Dec 3, 2017

#"see explanation"#

Explanation:

#"the initial statement is "yprop1/sqrtx#

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

#rArry=k/sqrtx#

#"when "x=9,y=c#

#rArrk=3c#

#rArry=(3c)/sqrtxlarrcolor(blue)"equation of variation"#

#"when "x=25,y=c-16#

#rArrc-16=(3c)/5#

#"multiply through by 5"#

#rArr5c-80=3c#

#rArr5c-3c=80#

#rArr2c=80rArrc=40#

#"when "x=36#

#y=(3xx40)/6=120/6=20#

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