Chapter 11.6, Problem 3STP

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

If y varies inversely with x, and $y=-16whenx=-64$, what is the constant of variation?

To determine

To calculate : the constant of variation $k$

Answer to Problem 3STP

The value of $k=1024$

Explanation of Solution

Given information : $y$ varies inversely with $x$ , and $y=-16$ when $x=-64$

Calculation :

  $y$ Varies inversely with $x$

  $\begin{array}{l}y\alpha \frac{k}{x}\\ y=\frac{k}{x}\\ k=xy\\ y=-16\\ x=-64\\ k=-16\times -64\\ k=1024\end{array}$