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

Sagot :

GinnyAnsweridn
To determine the relationship between the number of music files and the storage space used, let's analyze the given data:

[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]

We will observe how the storage space changes as the number of files increases.

1. From 10 files to 20 files, storage space increases from 15 Mb to 30 Mb.
2. From 20 files to 30 files, storage space increases from 30 Mb to 45 Mb.
3. From 30 files to 40 files, storage space increases from 45 Mb to 60 Mb.
4. From 40 files to 50 files, storage space increases from 60 Mb to 75 Mb.

In each case, as the number of files increases, the storage space used also increases. Therefore, we can see a consistent pattern where both the number of files and storage space are increasing.

Conclusively, the best statement that describes the relationship between the storage space and the number of music files is:

As the number of files increases, the storage space used increases.
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