Question

A phone company offers two monthly plans. Plan A costs $40 plus an additional $0.02 for each minute of calls. Plan B has no initial fee but costs $0.18 for each minute of calls. What is the cost when the two plans cost the same for a set number of minutes?

Answer 1

The cost of plan A is represented by the equation:

Cost A = 40 + 0.02x

where x is the number of minutes of calls.

The cost of plan B is represented by the equation:

Cost B = 0.18x

To find the point where the two plans cost the same, we can set the two equations equal to each other and solve for x:

40 + 0.02x = 0.18x

40 = 0.16x

x = 250

So when the customer makes 250 minutes of calls, the cost of the two plans will be the same.

The cost of plan A will be 40 + 0.02250 = $50 and the cost of plan B will be 0.18250 = $45

So when the customer makes 250 minutes of calls, Plan A and Plan B cost the same amount of money.