If y varies inversely as x and x=2 when y=8, what is x when y=5?

Apr 16, 2018

$x = 3.2$

Explanation:

if $y$ is inversely proportional to $x$

then $y = \frac{k}{x}$

substitute with the values given of $x , y$ to find the value of $k$

$8 = \frac{k}{2}$

$k = 16$

so the function will be:

$y = \frac{16}{x}$

now in order to get the value of $x$ at $y = 5$ We substitute

$5 = \frac{16}{x}$

$x = 3.2$