Chapter 11.6, Problem 35PPE

To determine

Find the missing value with the help of $\left(2.5,4\right)$ and $\left(x,2\right)$

Answer to Problem 35PPE

  $x=5$

Explanation of Solution

Given:

Given

  $\left(2.5,4\right)$ and $\left(x,2\right)$

Calculation:

In order to solve the question $\left(2.5,4\right)$ and $\left(x,2\right)$ ,

  $\begin{array}{l}theinitialstatementisy\mathrm{<mi>\alpha </mi>}\frac{1}{x}\\ y=\frac{k}{x}\\ as(2.5,4)and(x,2)\\ tofindk,weusex=2.5andy=4\\ asy=\frac{k}{x}\\ k=yx\\ k=4\times 2.5=10\\ theequationisy=\frac{10}{x}\\ nowwheny=2,\\ x=\frac{10}{2}=5\\ so(x,2)=(5,2)\\ x=5\end{array}$

So missing value is $x=5$

Thus, the solution is correct.