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Adam observed properties of four different waves and recorded observations about the frequency and volume of each one in his chart.

\begin{tabular}{|c|l|}
\hline
Wave & \multicolumn{1}{|c|}{Observations} \\
\hline
[tex]$W$[/tex] & 250 hertz, [tex]$12 dB$[/tex] \\
\hline
[tex]$X$[/tex] & 250 hertz, [tex]$76 dB$[/tex] \\
\hline
[tex]$Y$[/tex] & 1000 hertz, [tex]$1 dB$[/tex] \\
\hline
[tex]$Z$[/tex] & 250 hertz, [tex]$81 dB$[/tex] \\
\hline
\end{tabular}

Which statement could Adam declare based on the data in the table?

A. Only the sound quality of waves [tex]$Y$[/tex] and [tex]$Z$[/tex] can be compared.
B. The sound quality of all of the waves can be compared.
C. The sound quality of waves [tex]$W$[/tex] and [tex]$X$[/tex] can be compared.
D. The sound quality for these waves cannot be compared.



Answer :

GinnyAnswer
To determine which waves can have their sound quality compared, we must first understand that sound quality comparison is only valid when the waves have the same frequency.

Let's analyze the given data:

- Wave W: 250 hertz, 12 dB
- Wave X: 250 hertz, 76 dB
- Wave Y: 1000 hertz
- Wave Z: 250 hertz, 81 dB

The conditions for comparing the sound quality among these waves are as follows:

1. Wave W and Wave X:
- Both have a frequency of 250 hertz.
- Therefore, their sound quality can be compared.

2. Wave W and Wave Z:
- Both have a frequency of 250 hertz.
- So, their sound quality can be compared.

3. Wave X and Wave Z:
- Both have a frequency of 250 hertz.
- Hence, their sound quality can be compared.

However, Wave Y has a different frequency:
- Wave Y has a frequency of 1000 hertz, which is different from the 250 hertz frequency of waves W, X, and Z.
- Due to the difference in frequency, the sound quality of Wave Y cannot be directly compared with the sound quality of waves W, X, and Z.

In conclusion, the sound quality of waves W, X, and Z can be compared because they share the same frequency. The sound quality of Wave Y cannot be compared with any of the other waves because its frequency is different.

The correct statement based on the data in the table is:
- The sound quality of waves W, X, and Z can be compared.

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