Question

the table represents the amount of storage space, in megabytes, used by music files on zayds computer.
zayds music storage

number of files	space used (mb)
20	30
30	45
40	60
50	75

which statement best describes the relationship between storage space and number of music files?

• as the number of files remains constant, the storage space used decreases.
• as the number of files remains constant, the storage space used increases.
• as the number of files increases, the storage space used decreases.
• as the number of files increases, the storage space used increases.

Explanation:

Step1: Analyze the table data

Looking at the table, when the number of files is 10, space used is 15 Mb; when number of files is 20, space used is 30 Mb; as number of files increases (10→20→30→40→50), space used also increases (15→30→45→60→75).

Step2: Evaluate each option

• First option: If number of files is constant, space used can't decrease as per table (no constant number cases show decrease). Eliminate.
• Second option: Similarly, constant number of files doesn't show increase (table has increasing number of files). Eliminate.
• Third option: As number of files increases, space used decreases? But data shows 10→20 (files) leads to 15→30 (space), which is increase. Eliminate.
• Fourth option: As number of files increases, space used increases. This matches the data (10→50 files, 15→75 Mb).

Answer:

As the number of files increases, the storage space used increases. (The fourth option: "As the number of files increases, the storage space used increases.")