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

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

Which statement best describes the relationship between storage space and 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
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.

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