Question

Z varies inversely with the product of x and y. When x=2 and y=4, z=0.5 what is the value of z when x=4 and y=9?

Answer 1

The situation can be represented by the following equation:
$z=\frac{k}{xy}$
where k is a constant of proportionality.
Plugging in the given values:
$0.5=\frac{k}{2\times4}$
from which k = 4.
When x = 4 and y = 9
$z=\frac{4}{4\times9}=\frac{1}{9}$

Answer 2

Answer:

4

Step-by-step explanation: