In how many months will the NAS run out of available storage space?
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?
Answers
Explanations
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A. B. C. D.C.
To determine in how many months the NAS device will run out of available storage space, we need to calculate the amount of data that will be stored on the device for each of the upcoming months.
Starting with Month 1, the size of the backups is as follows:
Month 1: 50GB Month 2: 65GB (an increase of 15GB from Month 1) Month 3: 80GB (an increase of 15GB from Month 2)
Based on this pattern of growth, we can assume that the size of the backups will continue to increase by 15GB each month.
So for Month 4, the size of the backup will be 80GB + 15GB = 95GB For Month 5, the size of the backup will be 95GB + 15GB = 110GB For Month 6, the size of the backup will be 110GB + 15GB = 125GB For Month 7, the size of the backup will be 125GB + 15GB = 140GB For Month 8, the size of the backup will be 140GB + 15GB = 155GB For Month 9, the size of the backup will be 155GB + 15GB = 170GB For Month 10, the size of the backup will be 170GB + 15GB = 185GB For Month 11, the size of the backup will be 185GB + 15GB = 200GB
At this point, the NAS device will be full, as it can hold a maximum of 1TB (1000GB) of data. Therefore, the correct answer is D. 11 months.
Note that this calculation assumes that the size of the backups will continue to increase at a consistent rate of 15GB per month, which may not necessarily be the case in reality. However, based on the given information, this is the most likely pattern of growth.
