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Sagot :
Let's analyze the given table to understand the relationship between the number of files and the storage space used:
[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]
### Step-by-Step Analysis:
1. Identify the Changes in the Number of Files:
- From 10 to 20: Increase of 10 files
- From 20 to 30: Increase of 10 files
- From 30 to 40: Increase of 10 files
- From 40 to 50: Increase of 10 files
2. Identify the Changes in Storage Space Used:
- From 15 MB to 30 MB: Increase of 15 MB
- From 30 MB to 45 MB: Increase of 15 MB
- From 45 MB to 60 MB: Increase of 15 MB
- From 60 MB to 75 MB: Increase of 15 MB
3. Observe the Pattern:
- Each time the number of files increases by 10, the storage space used increases by 15 MB.
4. Determine the Relationship:
- There's a direct relationship between the number of files and the storage space used. As the number of files increases, the storage space used also increases.
### Conclusion:
After analyzing the table, we can conclude that the best statement describing the relationship between storage space and the number of music files is:
As the number of files increases, the storage space used increases.
[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]
### Step-by-Step Analysis:
1. Identify the Changes in the Number of Files:
- From 10 to 20: Increase of 10 files
- From 20 to 30: Increase of 10 files
- From 30 to 40: Increase of 10 files
- From 40 to 50: Increase of 10 files
2. Identify the Changes in Storage Space Used:
- From 15 MB to 30 MB: Increase of 15 MB
- From 30 MB to 45 MB: Increase of 15 MB
- From 45 MB to 60 MB: Increase of 15 MB
- From 60 MB to 75 MB: Increase of 15 MB
3. Observe the Pattern:
- Each time the number of files increases by 10, the storage space used increases by 15 MB.
4. Determine the Relationship:
- There's a direct relationship between the number of files and the storage space used. As the number of files increases, the storage space used also increases.
### Conclusion:
After analyzing the table, we can conclude that the best statement describing the relationship between storage space and the number of music files is:
As the number of files increases, the storage space used increases.
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