the variable z is directly proportional to x, and inversely proportional to y. when x is 15 and y is 19, z has the value 5.
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x y z
15 19 5
When it comes to direct or inverse proportion there is a constant of proportion...
If x varies directly (or is directly proportional) with y then x = ky
If x varies inversely (or is directly proportional) with y then x = k/y
For this problem we have z directly proportional to x and inversely proportional to y
z = kx/y
We are given initial values of x, y, z from which we can find the value of k
Multiply by 19 both sides
5 * 19=15k
Now we use z = kx/y with the known value of k and those given
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