Question

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?

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.