Chapter MPS, Problem 1.8MPS

To determine

To Find: The least and greatest possible length of an ice hockey stick.

Answer to Problem 1.8MPS

  $\begin{array}{l}\text{Least possible leength}=150cm\\ \text{Greatest possible length}=200cm\end{array}$

Explanation of Solution

Given:

  $\begin{array}{l}\text{Length of ice hockey stick}=175cm\\ \text{Range}=25cm\end{array}$

Formula Used:

  $\begin{array}{l}\left|x-c\right|=r\left(\text{Absolute value equation}\right)\\ c=centralvalue\\ r=Range\end{array}$

Calculation:

  $\begin{array}{l}\text{On writing an absolute value equation, the }centralvalue\text{ is always placed inside the absolute value symbols}\text{. The }range\text{ is always placed on the other side of the equality symbol}\text{.}\\ \left|x-c\right|=r\left(\text{Absolute value equation}\right)\\ \Rightarrow \left|x-175\right|=25\left(c=175\text{ and }r=25\right)\\ \to \text{Case: 1}\\ a=b\\ \Rightarrow x-175=25\\ \Rightarrow x-175+175=25+175\left(\text{on adding both side by 175}\right)\\ \Rightarrow x=200\\ \to \text{Case: 2}\\ a=-b\\ \Rightarrow x-175=-25\\ \Rightarrow x-175+175=-25+175\left(\text{on adding both side by 175}\right)\\ \Rightarrow x=150\\ \text{Least possible leength}=150cm\\ \text{Greatest possible length}=200cm\end{array}$

Conclusion:

The solution are 150 and 200.The greatest size is 200cm and least size is 150cm.