Chapter 12.6, Problem 9MRE

To determine

To calculate: The value of $x_2$ .

Answer to Problem 9MRE

The value of $x_2=3$

Explanation of Solution

Given information:

Given that $\left(x_1,y_1\right)\text{ and }\left(x_2,y_2\right)$ are ordered pairs of the same direct variation.

  $x_1=24,y_1=64,y_2=8$

Given that $\left(x_1,y_1\right)\text{ and }\left(x_2,y_2\right)$ are ordered pairs of the same direct variation.

  $x_1=24,y_1=64,y_2=8$

That means y is proportional to x , then it can be written as $y=kx$

This implies that $k=\frac{y}{x}$

Now,

  $k=\frac{y_1}{x_1}=\frac{y_2}{x_2}$

  $\begin{array}{c}\frac{64}{24}=\frac{8}{x_2}\\ x_2=\frac{8\times 24}{64}\\ =3\end{array}$

Therefore, the value of $x_2=3$