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 \\
[tex]$(Mb)$[/tex]
\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 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 :

To determine the best statement that describes the relationship between the number of music files and the storage space used, let's carefully examine the given table:

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

We need to identify how the storage space changes with respect to the number of files. Let's observe the patterns:

1. When the number of files increases from 10 to 20, the storage space increases from 15 MB to 30 MB.
2. When the number of files increases from 20 to 30, the storage space increases from 30 MB to 45 MB.
3. When the number of files increases from 30 to 40, the storage space increases from 45 MB to 60 MB.
4. When the number of files increases from 40 to 50, the storage space increases from 60 MB to 75 MB.

From these observations, it is clear that as the number of files increases, the storage space used also increases. Further, the increase is consistent, indicating a proportional relationship between the number of files and the amount of storage space used.

Therefore, the correct statement that best describes the relationship is:
- As the number of files increases, the storage space used increases.