Chapter 11.6, Problem 4STP

Solve each exercise and enter your answer on the grid provided.

The pair of points (3, 8) and (x, 6) are on the graph of an inverse variation. What is the missing value?

To determine

To calculate : the missing value of $x$

Answer to Problem 4STP

The value of $x_2=4$

Explanation of Solution

Given information : The pair of points $\left(3,8\right)$ and $\left(x,6\right)$ are on the graph of an inverse variation

Calculation :

The pair of points $\left(3,8\right)$ and $\left(x,6\right)$ are on the graph of an inverse variation

  $\begin{array}{l}y\alpha \frac{k}{x}\\ y=\frac{k}{x}\\ k=xy\\ y_1=8;y_2=6\\ x_1=3;x_2=x\\ x_1{y}_1=x_2{y}_2\\ x_2=\frac{x_1{y}_1}{y_2}\\ x_2=\frac{\left(3\right)\left(8\right)}{6}\\ x_2=4\end{array}$