Se y varia inversamente como xey = 8 quando x = 4, encontre y quando x = 16?

y=2

Explicação:

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