A technician performs monthly backups on a file server to a NAS device that can hold 1TB of data. The size of the monthly backups has been as follows: Month 1 = 50GB Month 2 = 65GB Month 3 = 80GB…

The correct answer is C. 9. The backups grow by 15GB per month (65−50=15, 80−65=15), so the monthly backup size = 35 + 15n GB for month n. Cumulative storage used after each month: M1=50, M2=115, M3=195, M4=290, M5=400, M6=525, M7=665, M8=820, M9=990, M10=1,175GB. After 9 months the NAS holds 990GB (under…

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Question

A technician performs monthly backups on a file server to a NAS device that can hold 1TB of data. The size of the monthly backups has been as follows:

Month 1 = 50GB Month 2 = 65GB Month 3 = 80GB Starting with Month 1, based on the current rate of growth, in how many months will the NAS run out of available storage space?

Options

How the community answered

(53 responses)

A
6% (3)
B
15% (8)
C
75% (40)
D
4% (2)

Explanation

The backups grow by 15GB per month (65−50=15, 80−65=15), so the monthly backup size = 35 + 15n GB for month n. Cumulative storage used after each month: M1=50, M2=115, M3=195, M4=290, M5=400, M6=525, M7=665, M8=820, M9=990, M10=1,175GB. After 9 months the NAS holds 990GB (under 1TB), but the Month 10 backup of 185GB would bring the total to 1,175GB, exceeding the 1TB capacity. The NAS therefore runs out of available space after 9 months.

Topics

#backup storage#capacity planning#NAS#storage growth

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