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

[tex]\[
\text{Zayd's Music Storage}
\][/tex]

\begin{tabular}{|c|c|}
\hline
\text{Number} & \text{Space Used} \\
\text{of Files} & \text{(Mb)} \\
\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.



Answer :

GinnyAnswer
To determine the relationship between the number of music files and the storage space used, we need to analyze the given data:

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

1. Examine the Data:
- When there are 10 files, 15 MB of storage is used.
- When there are 20 files, 30 MB of storage is used.
- When there are 30 files, 45 MB of storage is used.
- When there are 40 files, 60 MB of storage is used.
- When there are 50 files, 75 MB of storage is used.

2. Identify the Pattern:
We notice that as the number of files increases by 10, the space used increases by 15 MB. Specifically:
- Increasing from 10 to 20 files (an increase of 10 files) results in an increase of 15 MB (from 15 MB to 30 MB).
- Increasing from 20 to 30 files (an increase of 10 files) results in an increase of 15 MB (from 30 MB to 45 MB).
- Increasing from 30 to 40 files (an increase of 10 files) results in an increase of 15 MB (from 45 MB to 60 MB).
- Increasing from 40 to 50 files (an increase of 10 files) results in an increase of 15 MB (from 60 MB to 75 MB).

3. Determine the Relationship:
Each time the number of files increases by 10, the storage space increases by 15 MB. This indicates a direct relationship: as the number of files increases, the storage space used also increases.

4. Conclusion:
Therefore, the best description of the relationship between the number of files and the storage space used is:
[tex]\[ \text{As the number of files increases, the storage space used increases.} \][/tex]

This matches our observation based on the provided data. Thus, the correct statement is:
[tex]\[ \boxed{\text{As the number of files increases, the storage space used increases.}} \][/tex]

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