Niko is looking at two different options for a new cell phone plan. Plan A has a fee of $40 plus an additional fee of $0.04 per minute. With this plan, the first 500 minutes are free. Plan B has a fee of $60 plus an additional fee of $0.02 per minute. With this plan, the first 800 minutes are free. After how many minutes would both options cost the same amount?

Question

Leroy Watts

Mathematics

8 October, 03:45

Niko is looking at two different options for a new cell phone plan. Plan A has a fee of $40 plus an additional fee of $0.04 per minute. With this plan, the first 500 minutes are free. Plan B has a fee of $60 plus an additional fee of $0.02 per minute. With this plan, the first 800 minutes are free. After how many minutes would both options cost the same amount?

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Answers (1)

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Lena Alvarado · Answer 1

The first thing we must do for this case is write both linear equations.

We have then:

For plan A:

y = 0.04 (x-500) + 40

For plan B:

y = 0.02 (x-800) + 60

Solving the equations we have:

x = 1200 minutes

y = 68 $

Answer:

both options cost the same amount in:

x = 1200 minutes

The cost is:

y = 68 $