To investigate the relationship between the number of music files and the storage space used, let's closely examine the data in the provided table:
[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]
Reviewing the data, we observe the following:
1. When there are 10 files, 15 megabytes of storage space are used.
2. When there are 20 files, 30 megabytes of storage space are used.
3. When there are 30 files, 45 megabytes of storage space are used.
4. When there are 40 files, 60 megabytes of storage space are used.
5. When there are 50 files, 75 megabytes of storage space are used.
From these observations, we can see a clear pattern:
- When the number of files increases from 10 to 20, the storage space used also increases from 15 to 30 Mb.
- When the number of files further increases to 30, the storage space used increases to 45 Mb.
- Similar continuation of this pattern is seen as the number of files increases to 40 and 50, with corresponding increases in storage space to 60 and 75 Mb, respectively.
Conclusively, as the number of music files increases, the storage space used also increases. This indicates a directly proportional relationship between the number of files and the storage space.
Therefore, the statement that best describes this relationship is:
"As the number of files increases, the storage space used increases."
