Chapter MPS, Problem 4.1MPS

a.

To determine

Organize the data in matrix.

Answer to Problem 4.1MPS

  $\begin{array}{c}L\\ J\\ T\\ A\end{array}\left[\begin{array}{ccc}131& 212& 85\\ 95& 189& 25\\ 147& 208& 78\\ 185& 247& 93\end{array}\right]$

Explanation of Solution

Given information:

  $\begin{array}{cccc}Name& \begin{array}{l}Cell,Phone\\ \min utes\end{array}& \begin{array}{l}Text\\ Messages\end{array}& \begin{array}{l}Picture\\ Messages\end{array}\\ L& 131& 212& 85\\ J& 95& 189& 25\\ T& 147& 208& 78\\ A& 185& 247& 93\end{array}$

Calculation:

Consider the table

  $\begin{array}{cccc}Name& \begin{array}{l}Cell,Phone\\ \min utes\end{array}& \begin{array}{l}Text\\ Messages\end{array}& \begin{array}{l}Picture\\ Messages\end{array}\\ L& 131& 212& 85\\ J& 95& 189& 25\\ T& 147& 208& 78\\ A& 185& 247& 93\end{array}$

Here names of the students are labelled in first letter of the student.

A matrix is a rectangular array of variables and constants in horizontal rows and vertical columns and usually enclosed by brackets.

  $\begin{array}{c}L\\ J\\ T\\ A\end{array}\left[\begin{array}{ccc}131& 212& 85\\ 95& 189& 25\\ 147& 208& 78\\ 185& 247& 93\end{array}\right]$

b.

To determine

Identify that the student use cell phone the most.

Answer to Problem 4.1MPS

Student $J$ .

Explanation of Solution

Given information:

  $\begin{array}{cccc}Name& \begin{array}{l}Cell,Phone\\ \min utes\end{array}& \begin{array}{l}Text\\ Messages\end{array}& \begin{array}{l}Picture\\ Messages\end{array}\\ L& 131& 212& 85\\ J& 95& 189& 25\\ T& 147& 208& 78\\ A& 185& 247& 93\end{array}$

Calculation:

That the student $J$ use phone messages, text messages and picture messages more than the other students.

Hence, the student $J$ uses the cell phone more than the others.

c.

To determine

Add the elements of each row and interpret the result.

Answer to Problem 4.1MPS

  $428,309,483\&525$

Explanation of Solution

Given information:

  $\begin{array}{cccc}Name& \begin{array}{l}Cell,Phone\\ \min utes\end{array}& \begin{array}{l}Text\\ Messages\end{array}& \begin{array}{l}Picture\\ Messages\end{array}\\ L& 131& 212& 85\\ J& 95& 189& 25\\ T& 147& 208& 78\\ A& 185& 247& 93\end{array}$

Calculation:

Consider the table

  $\begin{array}{cccc}Name& \begin{array}{l}Cell,Phone\\ \min utes\end{array}& \begin{array}{l}Text\\ Messages\end{array}& \begin{array}{l}Picture\\ Messages\end{array}\\ L& 131& 212& 85\\ J& 95& 189& 25\\ T& 147& 208& 78\\ A& 185& 247& 93\end{array}$

Add the element in first row.

  $131+212+85=428$

Student $L$ uses total number of minutes, text and picture messages is $428$ .

Add the elements in second row.

  $95+189+25=309$

Student $J$ uses total number of minutes, text and picture messages is $309$ .

Add the elements in third row.

  $147+208+78=483$

Student $T$ uses total number of minutes, text and picture messages is $483$ .

Add the elements in fourth row.

  $185+247+93=525$

Student $A$ uses total number of minutes, text and picture messages is

  $525$ .