Se y varia inversamente come xey = 8 quando x = 4, trova y quando x = 16?

The statement is expressed as #yprop1/x#

#"inverse means " 1/"variable"#

To convert to an equation introduce k, the constant of variation.

#y=kxx1/x#

#rArry=k/x#

To find k use the given condition that y = 8 when x = 4

#8=k/4rArrk=4xx8=32#

#rArr" equation is " color(red)(bar(ul(|color(white)(2/2)color(black)(y=32/x)color(white)(2/2)|)))#

#x=16toy=32/16#

#rArry=2" when " x=16#