the variable z is inversely proportional to x. When x is 16, z has the value 1.125. What is the value of z when x = 24

Z=0.75

Step-by-step explanation:

Given

Z is inversely proportional to X.

First we'll define what an inverse proportion is. Inverse proportion is a relationship between two quantities such that if one quantity increases the other decreases.

Symbolically the relationship between Z and X can be defines as

Z ∝ 1/X

When the proportionality symbol is removed a constant is introduced.

Z = K/X

As we Know,

X=16

Z=1.125

We can find the value of K by using the values of Z and X

Putting in the values

1.125=K/16

K=1.125*16

K=18

Now, For

X=24

Z = 18/24

Z=0.75