Chapter 1.1, Problem 1MP

a.

To determine

Find the relationship between number of name and number of tiles.

Answer to Problem 1MP

  $n+2$

Explanation of Solution

Given information:

  

Calculation:

Consider the diagram,

The relationship between number of name and number of tiles, where $n$ represent the name of athletes,

  $n+2$

Hence, the relationship between number of name and number of tiles are $n+2$ .

b.

To determine

Simplify the expression using properties of real number.

Answer to Problem 1MP

  $3,4,5$

Explanation of Solution

Given information:

  

Calculation:

Consider the diagram,

Where $n$ represent the name of athletes,

Consider each diagram one by one,

For diagram first,

  $\begin{array}{l}n+2\\ putn=1\\ 1+2=3\\ tiles=3\end{array}$

For diagram second,

  $\begin{array}{l}n+2\\ putn=2\\ 2+2=4\\ tiles=4\end{array}$

For diagram third,

  $\begin{array}{l}n+2\\ putn=3\\ 3+2=5\\ tiles=5\end{array}$

Hence, the number of tiles for each diagram are $3,4,5$ .

c.

To determine

Find the total number of tiles needed.

Answer to Problem 1MP

  $3,4,5$

Explanation of Solution

Given information:

  

Calculation:

Consider the diagram,

Where $n$ represent the name of athletes,

Consider each diagram one by one,

For diagram first,

  $\begin{array}{l}n+2\\ putn=1\\ 1+2=3\\ tiles=3\end{array}$

For diagram second,

  $\begin{array}{l}n+2\\ putn=2\\ 2+2=4\\ tiles=4\end{array}$

For diagram third,

  $\begin{array}{l}n+2\\ putn=3\\ 3+2=5\\ tiles=5\end{array}$

Total number of tiles required,

  $3+4+5=12$

Hence, the total numbers of tiles required are $12$

d.

To determine

Complete the table.

Answer to Problem 1MP

  $\begin{array}{cc}n& NumberofinscribedTiles\\ 1& 2\\ 2& 4\\ 3& 5\\ 4& 6\end{array}$

Explanation of Solution

Given information:

  

Calculation:

Consider the table,

Use the relation, $n+2$ and complete the table.

  $\begin{array}{cc}n& NumberofinscribedTiles\\ 1& 2\\ 2& 4\\ 3& 5\\ 4& 6\end{array}$

e.

To determine

Find the number of plain tiles in the walk.

Answer to Problem 1MP

  $5$

Explanation of Solution

Given information:

  $n=3$

Calculation:

Use the relation, $n+2$

  $\begin{array}{l}n+2\\ putn=3\\ 3+2=5\\ tiles=5\end{array}$

Hence, the number of plain tiles in the walk is $5$ .

f.

To determine

Find the number of plain tiles in the walk.

Answer to Problem 1MP

  $10$

Explanation of Solution

Given information:

  $n=8$

Calculation:

Use the relation, $n+2$

  $\begin{array}{l}n+2\\ putn=8\\ 8+2=10\\ tiles=10\end{array}$

Hence, the number of plain tiles in the walk is $10$ .