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

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

The table shows the following values:

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

From this data, we observe the following:

1. When the number of files is 10, the space used is 15 Mb.
2. When the number of files is 20, the space used is 30 Mb.
3. When the number of files is 30, the space used is 45 Mb.
4. When the number of files is 40, the space used is 60 Mb.
5. When the number of files is 50, the space used is 75 Mb.

As we examine the increments:
- The number of files increases by 10 each time (10, 20, 30, 40, 50).
- The corresponding space used increases by 15 Mb each time (15, 30, 45, 60, 75).

Clearly, there is a consistent and proportional relationship between the number of files and the storage space used. Specifically, for every additional 10 files, the storage space used increases by 15 Mb.

Therefore, the best statement to describe this relationship is:

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

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