Question

The variable z is inversely proportional to x. When x is 6, z has the value of 2. What is the value of z when x=13

Round to at least the thousandths place if needed

Answer 1

`z=0.923`

Explanation:

we know that

A relationship between two variables, x, and z, represent an inverse variation if it can be expressed in the form
`z*x=k` or
`z=k/x`

step 1

Find the value of k

For x=6, z=2

`z*x=k`

substitute

`2*6=k`

`k=12`

therefore

The equation of the inverse variation is equal to

`z*x=12`

step 2

What is the value of z when x=13

substitute the value of x in the equation and solve for z

`z*(13)=12`

`z=12/13`

`z=0.923`