Chapter 8.10, Problem 2CE

To determine

To find:

The equation given that the statement .

Answer to Problem 2CE

The valueis $2,880=38.2$ .

Explanation of Solution

Given:

  $x_1,y_1,z_1$ varies directly as $x_2,y_2,z_2$

Concept used:

If the quantities $x$ and $y$ are related by an equation

  $y=kx$

For some constant $k\ne 0$

That is y varies directly as $x$ or y is directly proportional to $x$

The constant $k$ is called constant proportionality

Calculation:

If the quantities $a_1,b_1$ and $a_2,b_2$ are related by an equation

  $a_1{b}_1\alpha b_2$

  $\begin{array}{l}{a}_1{b}_1=a_2{b}_2\\ x_1{y}_1{z}_1=x_2{y}_2{z}_2\\ 12\times \left(-16\right)\times \left(-15\right)=\left(-4\right)\times 3\times 3.2\\ 2,880=38.2\end{array}$

For some constant $k\ne 0$

That is $a_1,b_1$ varies directly as $a_2,b_2$ or $a_1,b_1$ is directly proportional to $a_2,b_2$

The constant $k$ is called constant proportionality .