Chapter 8.10, Problem 18WE

To determine

To find:

The equation given that the statement .

Answer to Problem 18WE

The valueis $\frac{t}{52}=\frac{3}{r}$ .

Explanation of Solution

Given:

  $t$ varies directly as $r$ .

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 $t$ and $r$ are related by an equation

  $t\alpha r$

  $\begin{array}{l}{a}_1{b}_1=a_2{b}_2\\ \frac{a_1}{a_2}=\frac{b_1}{b_2}\\ \frac{t}{52}=\frac{3}{r}\end{array}$

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.