The variable of z

Question

The variable z is inversely proportional to x. When x is 15, z has the value of 0.2. What is the value of z when x=23

round to at least the thousandths place if needed.

Answer 1

"Inversely proportional" means that the dependent variable varies as the inverse of the independent variable.

In the simplest case, this would mean an equation of the form z = C/x, where C is a constant.

Assuming this equation, plug in the given values to get the value of C:

0.2 = C/15

C = 3

Thus the equation is z = 3/x

So, for x= 23, z is 3/23 = 0.13043 ---> Rounded to nearest thousandth: 0.130