The variable Z is inversely proportional to X. When X is 12, Z has the value 0.25. What is the value of Z when X = 19

Question

Help please....   The variable Z is inversely proportional to X. When X is 12, Z has the value 0.25.

What is the value of Z when X = 19

Answer 1

We need to find the constant of proportionality, which is k. 

 

Z is inversely proportional to X, then we can write the equation as follows: 

 

Z = k/X 

 

0.25 = k(12) 

 

0.25/12 = 1/48 = k 

 

If X equals 19 and k equals 1/48, then we can find Z.

 

1/48/19 = 1/48 X 1/19 = 1/912