Chapter 8.1, Problem 2WE

To determine

To solve the direct variation.

Answer to Problem 2WE

The solution is $t=24$ .

Explanation of Solution

Given information:

The given statement is:

“If $s$ is directly proportional to $t$ , and $s=40$ when $t=15$ , find $t$ when $s=64$ .”

Calculation :

Since, $s$ is directly proportional to $t$ .

The solution can be obtained by:

  $\begin{array}{l}\frac{s_1}{t_1}=\frac{s_2}{t_2}\\ \frac{40}{15}=\frac{64}{t_2}\\ t_2=\frac{64\times 15}{40}\\ t_2=24\end{array}$

Hence, the solution is $t=24$ .