Chapter 12.6, Problem 7MRE

To determine

To calculate: The value of $y_2$ .

Answer to Problem 7MRE

The value of $y_2=12$

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.

  $x_1=1,y_1=3,x_2=4$

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

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

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

Now,

  $k=\frac{y_1}{x_1}=\frac{y_2}{x_2}$

  $\begin{array}{c}\frac{3}{1}=\frac{y_2}{4}\\ y_2=3\times 4\\ =12\end{array}$

Therefore, the value of $y_2=12$