Astrid has a data plan through her cell phone company where she pays $49 a month for 5,000 kilobytes (KB) of data and $0.037 for each additional KB over 5,000. To the nearest cent, how much would Astrid need to pay for her data plan if she used 6,978 KB of data?

Question

Maxim Gonzalez

Mathematics

26 September, 01:13

Astrid has a data plan through her cell phone company where she pays $49 a month for 5,000 kilobytes (KB) of data and $0.037 for each additional KB over 5,000. To the nearest cent, how much would Astrid need to pay for her data plan if she used 6,978 KB of data?

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Answers (1)

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Tomas Morrow · Answer 1

Answer: $122.19

Step-by-step explanation:

Hi, to answer this, first we have to calculate the additional KB that Astrid used:

KB used - KB limit=

6,978-5,000 = 1,978

Then, the cost of the plan is equal to a fixed fee (49) plus the product of the number of additional KB over 5,000 (x) and the cost per KB (0.037).

Cost = 49 + 0.037 x

Substituting x = 1,978

C = 49 + 0.037 (1,978)

C = 49+73.186

C=$122.19

Feel free to ask for more if needed or if you did not understand something.