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

Answer:

$z=0.923$

Step-by-step 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

$z*(13)=12$

$z=12/13$

$z=0.923$