Chapter 1, Problem 23PT

a.

To determine

To write: An algebraic equation that can be used to find Luz age when Malik age is provided.

Answer to Problem 23PT

The algebraic equation that can be used to find Luz age is $3x$ where Malik age is $x$ .

Explanation of Solution

Given information:

Let Malik age be $x$ .

Formula:

Luz age is three times than Malik age.

Consider the statement let Malik age be $x$ .

Recall that Luz age is three times than Malik age.

Therefore if we consider the Malik age be $x$ then the Luz age is $3x$ .

b.

To determine

To complete: The function table for Luz age and Malik age.

Answer to Problem 23PT

The function table forLuz age and Malik age is mentioned below.

  $\begin{array}{cc}\text{Malik's age}\left(x\right)& \text{Luz's age}\left(3x\right)\\ 1& 3\\ 2& 6\\ 3& 9\\ 4& 12\\ 5& 15\end{array}$

Explanation of Solution

Given information:

The Malik age is mentioned in the problem $1,2,3,4or5$ .

Formula:

Let Malik age be $x$ then the Luz age is $3x$ .

Calculation:

Consider the statement the Malik age is mentioned in the problem $1,2,3,4or5$ .

Recall that if Malik age be $x$ then the Luz age is $3x$ .

Therefore if Malik age is $1$ then Luz age is $3*1=3$ .

IfMalik age is $2$ then Luz age is $3*2=6$ .

IfMalik age is $3$ then Luz age is $3*3=9$ .

IfMalik age is $4$ then Luz age is $3*4=12$ .

IfMalik age is $5$ then Luz age is $3*5=15$ .

Therefore the age table is mentioned below.

  $\begin{array}{cc}\text{Malik's age}\left(x\right)& \text{Luz's age}\left(3x\right)\\ 1& 3\\ 2& 6\\ 3& 9\\ 4& 12\\ 5& 15\end{array}$

c.

To determine

To graph: The ordered pairs of the function table mentioned below.

  $\begin{array}{cc}\text{Malik's age}\left(x\right)& \text{Luz's age}\left(3x\right)\\ 1& 3\\ 2& 6\\ 3& 9\\ 4& 12\\ 5& 15\end{array}$

Answer to Problem 23PT

The graph mentioned below represents x axis as Malik’s age and y axis as Luz’ age.

  

Explanation of Solution

Given information:

The function table is mentioned below.

  $\begin{array}{cc}\text{Malik's age}\left(x\right)& \text{Luz's age}\left(3x\right)\\ 1& 3\\ 2& 6\\ 3& 9\\ 4& 12\\ 5& 15\end{array}$

Graph:

The graph plotted below represents x axis as Malik age and y axis as Luz age.

  

Interpretation:

Consider the statement to graph the function table as mentioned below.

Recall that the function table is

  $\begin{array}{cc}\text{Malik's age}\left(x\right)& \text{Luz's age}\left(3x\right)\\ 1& 3\\ 2& 6\\ 3& 9\\ 4& 12\\ 5& 15\end{array}$ .

Here we consider Malik age as x axis and Luz age as y axis.

Therefore the graph we observed above is the graph of function table.