Chapter 1, Problem 28SGR

a.

To determine

To write: An algebraic equation that can be used to find number of songs downloaded.

  $\begin{array}{cc}\text{number of videos}& \text{number of songs}\\ input\left(v\right)& output\left(s\right)\\ 2& \_\\ 4& \_\\ 6& \_\\ 8& \_\end{array}$

Answer to Problem 28SGR

The algebraic equation that can be used to find number of songs downloaded is $v=s+5$ .

Explanation of Solution

Given information:

Shanna downloaded five more songs than videos.

Formula:

Number of videos has input $v$ and number of songs has output $s$ .

Consider the statement Shanna downloaded five more songs than videos.

Recall that number of videos has input $v$ and number of songs has output $s$ .

Therefore the algebraic equation that can be used to find number of songs downloaded is $v=s+5$

b.

To determine

To complete: The function table for number of songs downloaded.

  $\begin{array}{cc}\text{number of videos}& \text{number of songs}\\ input\left(v\right)& output\left(s\right)\\ 2& \_\\ 4& \_\\ 6& \_\\ 8& \_\end{array}$

Answer to Problem 28SGR

The function table for number of songs downloaded is mentioned below.

  $\begin{array}{cc}\text{number of videos}& \text{number of songs}\\ input\left(v\right)& output\left(s\right)\\ 2& 7\\ 4& 9\\ 6& 11\\ 8& 13\end{array}$

Explanation of Solution

Given information:

The function table is mentioned below as in the problem.

  $\begin{array}{cc}\text{number of videos}& \text{number of songs}\\ input\left(v\right)& output\left(s\right)\\ 2& \_\\ 4& \_\\ 6& \_\\ 8& \_\end{array}$

Formula:

Shanna downloaded five more songs than videos.

Therefore $v=s+5$ .

Calculation:

Consider the statement to complete the function table.

Recall that Shanna downloaded five more songs than videos.

Therefore $v=s+5$ . If

  $\begin{array}{l}v=2,s=2+5=7\\ v=4,s=4+5=9\\ v=6,s=6+5=11\\ v=8,s=8+5=13\end{array}$

Therefore the function table is

  $\begin{array}{cc}\text{number of videos}& \text{number of songs}\\ input\left(v\right)& output\left(s\right)\\ 2& 7\\ 4& 9\\ 6& 11\\ 8& 13\end{array}$

c.

To determine

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

  $\begin{array}{cc}\text{number of videos}& \text{number of songs}\\ input\left(v\right)& output\left(s\right)\\ 2& 7\\ 4& 9\\ 6& 11\\ 8& 13\end{array}$

Answer to Problem 28SGR

The graph mentioned below represents x axis as no. of videos and y axis as no. of songs.

Explanation of Solution

Given information:

The function table is mentioned below.

  $\begin{array}{cc}\text{number of videos}& \text{number of songs}\\ input\left(v\right)& output\left(s\right)\\ 2& 7\\ 4& 9\\ 6& 11\\ 8& 13\end{array}$

Graph:

The graph plotted below represents x axis as no. of videos and y axis as no. of songs.

Interpretation:

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

Recall that the function table is

  $\begin{array}{cc}\text{number of videos}& \text{number of songs}\\ input\left(v\right)& output\left(s\right)\\ 2& 7\\ 4& 9\\ 6& 11\\ 8& 13\end{array}$ .

Here we consider no. of videos as x axis and no. of songs as y axis.

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