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
Dec 3, 2017
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#
