Answer:
[tex]Z=2.99999999999995[/tex]
Step-by-step explanation:
We can write the proportionality equation as:
[tex]Z=k\frac{X}{Y}[/tex]
Note: Directly proportional goes top and top, multiplied. And inversely proportional goes top bottom, divided. Also, k is the proportionality constant.
When X is 3, Y is 19, Z is 0.94736842105263. Plugging these, we figure out k:
[tex]Z=\frac{kX}{Y}\\0.94736842105263=\frac{k(3)}{19}\\k=\frac{0.94736842105263*19}{3}\\k=5.99999999999999[/tex]
Now we put X = 13 and Y = 26 and k = 5.99999999999999, to find Z:
[tex]Z=\frac{kX}{Y}\\Z=\frac{(5.99999999999999)(13)}{26}\\Z=2.99999999999995[/tex]
