Answered

Analyzing a Relationship in a Table

\begin{tabular}{|c|c|}
\hline
Beat \# & Note Frequency [tex]$( Hz )$[/tex] \\
\hline
2 & 261.6 \\
\hline
3 & 392.0 \\
\hline
4 & 392.0 \\
\hline
5 & 444.0 \\
\hline
6 & 444.0 \\
\hline
7 & 392.0 \\
\hline
\end{tabular}

Use the information from the table to describe the relationship between the musical frequency of notes and the beats in a tune. The musical frequency of notes is decreasing between beat numbers [tex]$\square$[/tex] and [tex]$\square$[/tex].



Answer :

To determine the relationship between the musical frequency of notes and the beats in a tune, we should analyze the changes in frequency values as the beat numbers increase.

Here is the given table for reference:

[tex]\[ \begin{array}{|c|c|} \hline \text{Beat\#} & \text{Note Frequency}~(Hz) \\ \hline 2 & 261.6 \\ \hline 3 & 392.0 \\ \hline 4 & 392.0 \\ \hline 5 & 444.0 \\ \hline 6 & 444.0 \\ \hline 7 & 392.0 \\ \hline \end{array} \][/tex]

We need to identify the intervals where the frequency of the notes decreases as we move from one beat number to the next.

Here are the observations:

1. From beat 2 to beat 3, the frequency increases from [tex]\( 261.6 \, Hz \)[/tex] to [tex]\( 392.0 \, Hz \)[/tex].
2. From beat 3 to beat 4, the frequency remains the same at [tex]\( 392.0 \, Hz \)[/tex].
3. From beat 4 to beat 5, the frequency increases from [tex]\( 392.0 \, Hz \)[/tex] to [tex]\( 444.0 \, Hz \)[/tex].
4. From beat 5 to beat 6, the frequency remains the same at [tex]\( 444.0 \, Hz \)[/tex].
5. From beat 6 to beat 7, the frequency decreases from [tex]\( 444.0 \, Hz \)[/tex] to [tex]\( 392.0 \, Hz \)[/tex].

As a result, the frequency is decreasing between the following beat numbers:
- Between beat 6 and beat 7

Thus, the musical frequency of notes is decreasing between beat numbers [tex]\( 6 \)[/tex] and [tex]\( 7 \)[/tex].