The variable z is inversely proportional to x. When x is 16, z has the value 0.5625. What is the value of z when x = 25?

0.36

Step-by-step explanation:

z is inversely proportional to x:

z = k / x

When x is 16, z has the value 0.5625.

0.5625 = k / 16

k = 9

What is the value of z when x = 25?

z = 9 / 25

z = 0.36

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