The variable z is inversely proportional to x. when x is 19, z has the value 0.10526315789474. what is the value of z when x= 28? round to at least the thousandths place if needed.

When two variables are inversely proportional the relation between them can be written as:

Here, k is the constant of proportionality and is always equal to the product of the two variables. So using the given values of z and x, we can find k first.

The constant of proportionality for the given inverse proportion comes out to be 2. Using the value of k in the equation, we get:

We have to find the value of z when x=28. So replacing x by 28, we get:

Thus, rounding of to nearest thousand the value of z comes out to be 0.071 if x is equal to 28.

option 1 is correct.

step-by-step explanation:

y varies inversely with x and constant of variation is 4

the equation will be:

y = k/x

where k =4 so,

y = 4/x

if we put values of x of option 1 in the above equation and find values of y

y = 4/-2 => y =-2

y = 4/-1 => y = -4

y = 4/1 => y = 4

y = 4/2 => y =2

so, all the values of x and y are correct.

if we put values of x given in other options and find value of y we cannot find whole table satisfying the equation.

hence option 1 is correct.

do i do it on a graph?

step-by-step explanation: