Chapter 8.10, Problem 8OE

To determine

To find:

The equation given that the statement

Answer to Problem 8OE

The equation is $a_1{b}_1=a_2{b}_2$

Explanation of Solution

Given:

  $a_1,b_1$ varies directly as $a_2,b_2$

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

  $a_1{b}_1\alpha b_2$

  $a_1{b}_1=a_2{b}_2$

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