Jenna is looking at two different options for a new cell phone plan. Plan A has a fee of $50 plus an additional fee of $0.05 per minute. With this plan, the first 500 minutes are free. Plan B has a fee of $20 plus an additional fee of $0.06 per minute. With this plan, the first 200 minutes are free. After how many minutes would both options cost the same amount?

Question

Mathematics

Samantha Lyons

21 September, 09:36

Jenna is looking at two different options for a new cell phone plan. Plan A has a fee of $50 plus an additional fee of $0.05 per minute. With this plan, the first 500 minutes are free. Plan B has a fee of $20 plus an additional fee of $0.06 per minute. With this plan, the first 200 minutes are free. After how many minutes would both options cost the same amount?

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Answers (1)

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Jenna · Answer 1

Plan A = 50 + 0.05 (x-500)

Plan b = 20 + 0.06 (x-200)

set A equal to B

50 + 0.05 (x-500) = 20 + 0.06 (x-200)

50 + 0.05x - 25 = 20 + 0.06x - 12

rearrange like terms on one side.

50 - 25 - 20 + 12 = 0.06x - 0.05x

17 = 0.01x

x = 1700 minutes.