Question

The variable Z is inversely proportional to X. When X is 3, Z has the value 2.What is the value of Z when X = 13. round to at least the thousandths place if needed.

Answer 1

Given that, variable Z is inversely proportional to X.

So, we can set up an equation as following:

XZ = k Where k = constant of variation.

When X = 3, Z = 2.

Next step is to plug in these values in the above equation to get the vaue of k. So,

3*2 = k

Hence, k = 6

Now plug in k = 6 in the above equation. So,

XZ = 6

Now we need to find the value of Z when X = 13.

Hence, plug in X = 13 in the above equation to get the value of Z.

13*Z = 6

$\frac{13*Z}{13} =\frac{6}{13}$ Divide each sides by 13 to isolate Z.

Z = 0.461538462

So, Z = 0.462 Rounded to nearest thousandth.

Hope this helps you!