## College Algebra 7th Edition

$z=\displaystyle \frac{192}{y}$
Since we are told that $z$ is inversely proportional to $y$, we have: $z=\frac{k}{y}$ We are given: $z=12$ and $y=16$, so we have: $12=\displaystyle \frac{k}{16}$ $k=12*16=192$ Thus the equation is: $z=\displaystyle \frac{192}{y}$