Chapter 3.8, Problem 27E

To determine

To find: the statement of variation relating to the variables of the equation and name the constant of variation.

Answer to Problem 27E

x varies directly as y and inversely as square of $z$ .

Constant of variation $\left(k\right)$ is $\frac{3}{4}$ .

Explanation of Solution

Given information:

  $x{z}^2=\frac{3}{4}y$

Calculation:

The value of $\frac{3}{4}$ is a constant; whereas $x,y$ and $z$ are variables. The equation shows that x varies directly as y and inversely as $z^2$ . Thus, the constant of variation $\left(k\right)$ is $\frac{3}{4}$ .