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 $