Assume that y varies inversely as x, how do you write an inverse variation equation that relates x and y given y=8 when x=6?

2 Answers
Dec 13, 2017

Answer:

# xy=48# is the inverse variation equation of #x and y#

Explanation:

#y prop 1/x :. y = k*1/x or x*y= k ; k# is constant of

proportionality. #y=8 ; x=6 ; x*y=k :. k = 6*8=48#

#:. x*y=48# is the inverse variation equation of #x and y# [Ans]

Dec 13, 2017

Answer:

#y=48/x#

Explanation:

#"the initial statement is "yprop1/x#

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

#rArry=kxx1/x=k/x#

#"to find k use the given condition"#

#y=8" when "x=6#

#y=k/xrArrk=yx=8xx6=48#

#"equation is " color(red)(bar(ul(|color(white)(2/2)color(black)(y=48/x)color(white)(2/2)|)))#