When two variables are inversely proportional the relation between them can be written as:
[tex] z=\frac{k}{x} [/tex]
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.
[tex] k=zx\\ \\
k=0.10526315789474(19)\\ \\
k=2 [/tex]
The constant of proportionality for the given inverse proportion comes out to be 2. Using the value of k in the equation, we get:
[tex] z=\frac{2}{x} [/tex]
We have to find the value of z when x=28. So replacing x by 28, we get:
[tex] z=\frac{2}{28}\\ \\
z=0.07142857143 [/tex]
Thus, rounding of to nearest thousand the value of z comes out to be 0.071 if x is equal to 28.
