Chapter 8.10, Problem 3ST

To determine

To find:

The equation given that the statement .

Answer to Problem 3ST

The valueis $y_2=\frac{48}{7}$ .

Explanation of Solution

Given:

  $x_1,y_1$ varies directly as $x_2,y_2$ .

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

  $a_1{b}_1\alpha b_2$

  $\begin{array}{l}{a}_1{b}_1=a_2{b}_2\\ x_1{y}_1=x_2{y}_2\\ 60\times 4=35\times y_2\\ y_2=\frac{60\times 4}{35}\\ y_2=\frac{12\times 4}{7}\\ y_2=\frac{48}{7}\end{array}$

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 .