MATH SOLVE

2 months ago

Q:
# 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

Accepted Solution

A:

Answer: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