Answer :
To determine the relationship between the number of music files and the amount of storage space used, we need to carefully analyze the provided data in the table. Here's the data again for clarity:
[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]
1. Look at the Data Pairs:
- When there are 10 files, the space used is 15 MB.
- When there are 20 files, the space used is 30 MB.
- When there are 30 files, the space used is 45 MB.
- When there are 40 files, the space used is 60 MB.
- When there are 50 files, the space used is 75 MB.
2. Identify the Pattern:
- Observe the change in both the number of files and the space used.
- When the number of files increases from 10 to 20 (an increase of 10 files), the space used increases from 15 MB to 30 MB (an increase of 15 MB).
- This pattern holds consistently across all pairs in the table. Every increase of 10 files corresponds to an increase of 15 MB in storage space.
3. Understand the Relationship:
- From the observed pattern, we can see that as the number of music files increases, the amount of storage space used also increases proportionately.
Given these observations:
- Any statement suggesting that the storage space decreases as the number of files increases (or remains constant) is not consistent with the data.
- The statement that best describes 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]
1. Look at the Data Pairs:
- When there are 10 files, the space used is 15 MB.
- When there are 20 files, the space used is 30 MB.
- When there are 30 files, the space used is 45 MB.
- When there are 40 files, the space used is 60 MB.
- When there are 50 files, the space used is 75 MB.
2. Identify the Pattern:
- Observe the change in both the number of files and the space used.
- When the number of files increases from 10 to 20 (an increase of 10 files), the space used increases from 15 MB to 30 MB (an increase of 15 MB).
- This pattern holds consistently across all pairs in the table. Every increase of 10 files corresponds to an increase of 15 MB in storage space.
3. Understand the Relationship:
- From the observed pattern, we can see that as the number of music files increases, the amount of storage space used also increases proportionately.
Given these observations:
- Any statement suggesting that the storage space decreases as the number of files increases (or remains constant) is not consistent with the data.
- The statement that best describes the relationship between storage space and the number of music files is:
"As the number of files increases, the storage space used increases."
