Question

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?

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 $