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The table represents the amount of storage space, in megabytes, used by music files on Zayd's computer.

Zayd's Music Storage
\begin{tabular}{|c|c|}
\hline
\begin{tabular}{c}
Number \\
of Files
\end{tabular} & \begin{tabular}{c}
Space Used \\
[tex]$(Mb)$[/tex]
\end{tabular} \\
\hline 10 & 15 \\
\hline 20 & 30 \\
\hline 30 & 45 \\
\hline 40 & 60 \\
\hline 50 & 75 \\
\hline
\end{tabular}

Which statement best describes the relationship between storage space and the number of music files?

A. As the number of files remains constant, the storage space used decreases.
B. As the number of files remains constant, the storage space used increases.
C. As the number of files increases, the storage space used decreases.
D. As the number of files increases, the storage space used increases.

Sagot :

GinnyAnsweridn
Let's analyze the given table representing the number of files and the corresponding storage space used:

[tex]\[ \begin{tabular}{|c|c|} \hline \text{Number of Files} & \text{Space Used (Mb)} \\ \hline 10 & 15 \\ \hline 20 & 30 \\ \hline 30 & 45 \\ \hline 40 & 60 \\ \hline 50 & 75 \\ \hline \end{tabular} \][/tex]

We need to determine the best statement that describes the relationship between the storage space and the number of music files.

### Step-by-Step Analysis:

1. Identify the Trend:
- For 10 files, the space used is 15 Mb.
- For 20 files, the space used is 30 Mb.
- For 30 files, the space used is 45 Mb.
- For 40 files, the space used is 60 Mb.
- For 50 files, the space used is 75 Mb.

2. Observe the Changes:
- From 10 to 20 files, space increases from 15 to 30 Mb.
- From 20 to 30 files, space increases from 30 to 45 Mb.
- From 30 to 40 files, space increases from 45 to 60 Mb.
- From 40 to 50 files, space increases from 60 to 75 Mb.

3. Consistent Increase in Space:
- Each time the number of files increases by 10, the space used increases by 15 Mb.

4. Determine the Relationship:
- The relationship observed shows a direct proportionality: as the number of files increases, the storage space used also increases.

### Final Conclusion:
Based on the data provided in the table, the best statement that describes the relationship between storage space and the number of music files is:

- As the number of files increases, the storage space used increases.

Therefore, the correct answer is: "As the number of files increases, the storage space used increases."
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