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A cell phone company offers two data options for its prepaid phones Pay per use: $0.002 per Kilobyte (KB) used Data Package: $5 for 5 Megabyte (5120 Kilobytes) used + $0.002 per addition KB Assuming you will use less than 5 Megabytes, under what circumstances will the data package save you money

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sarkhan2018

The crucial point in this problem is the amount of the data usage. Since it's not given by reasoning with math logic we can find the correct answer. Let's find that if we spend 5$ in the first case, how much amount of data we would be able to use. By setting

0.002$_______1 KB

5$_______x and x=2500 KB or 2.5 MB


From this fact, we can yield that if you are willing to use more than 2.5 MB of data, it is mathematically correct to choose the second option since in this case you will save money.