16 fluid ounces is equal to 1 cup
16 fluid ounces = 1 cup
When two variables are inversely proportional the relation between them can be written as:
![z=\frac{k}{x}](https://tex.z-dn.net/?f=%20z%3D%5Cfrac%7Bk%7D%7Bx%7D%20%20)
Here, k is the constant of proportionality and is always equal to the product of the two variables. So using the given values of z and x, we can find k first.
![k=zx\\ \\ k=0.10526315789474(19)\\ \\ k=2](https://tex.z-dn.net/?f=%20k%3Dzx%5C%5C%20%5C%5C%20%20k%3D0.10526315789474%2819%29%5C%5C%20%5C%5C%20%20k%3D2%20)
The constant of proportionality for the given inverse proportion comes out to be 2. Using the value of k in the equation, we get:
![z=\frac{2}{x}](https://tex.z-dn.net/?f=%20z%3D%5Cfrac%7B2%7D%7Bx%7D%20%20)
We have to find the value of z when x=28. So replacing x by 28, we get:
![z=\frac{2}{28}\\ \\ z=0.07142857143](https://tex.z-dn.net/?f=%20z%3D%5Cfrac%7B2%7D%7B28%7D%5C%5C%20%20%5C%5C%20%20z%3D0.07142857143%20)
Thus, rounding of to nearest thousand the value of z comes out to be 0.071 if x is equal to 28.