Wenn y umgekehrt variiert als x und y = 8, wenn x = 4, finden Sie y, wenn x = 16?

Antworten:

$y=2$

Erläuterung:

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

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

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

$x=16toy=32/16$

$rArry=2" when " x=16$