Answer:
The answer is 9/25 or .36 if you prefer it in decimal form.
Step-by-step explanation:
inversely proportional means there is a constant that we are going to divide by.
So z is inversely proportional to x means z=k/x where k is a constant.
We are given when x=16, z=0.5625. This information will be used to find our constant value k.
0.5625=k/16
Multiply both sides by 16:
16(0.5625)=k
Simplify:
9=k.
This means no matter what (x,z) pair we have the constant k in z=k/x will always be 9.
The equation we have is z=9/x.
Now we want to find z when x=25.
z=9/25
z=.36
