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]
