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

Zayd's Music Storage
\begin{tabular}{|c|c|}
\hline
\begin{tabular}{c}
Number \\
of Files
\end{tabular} & \begin{tabular}{c}
Space Used \\
(Mb)
\end{tabular} \\
\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 amount of storage space used, we need to carefully analyze the given table:

| Number of Files | Space Used (Mb) |
|-----------------|-----------------|
| 10 | 15 |
| 20 | 30 |
| 30 | 45 |
| 40 | 60 |
| 50 | 75 |

We will look for any patterns or trends in the numbers provided:

- When the number of files is 10, the space used is 15 Mb.
- When the number of files is 20, the space used is 30 Mb.
- When the number of files is 30, the space used is 45 Mb.
- When the number of files is 40, the space used is 60 Mb.
- When the number of files is 50, the space used is 75 Mb.

From the table, observe the following increments:
- Increasing the number of files by 10 results in an increase in space used by 15 Mb.
- This pattern remains consistent for every set of data in the table.

Thus, there is a clear, direct relationship between the number of files and the amount of storage space used: For every 10-file increase, the storage space increases by 15 Mb.

Therefore, the best statement describing the relationship is:
As the number of files increases, the storage space used increases.

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