Question

A phone company offers two monthly plans. Plan A costs $27 plus an additional $0.15 for each minute of calls. Plan B has no initial fee but costs $0.19 for each minute of calls.

For what amount of calling do the two plans cost the same?

What is the cost when the two plans cost the same?

Answer 1

To find the amount of calling that makes the two plans cost the same, we have to set the cost of Plan A equal to the cost of Plan B and solve for the number of minutes.

Let x be the number of minutes of calls.

For Plan A, the cost is given by:

CostA = 27 + 0.15x

For Plan B, the cost is given by:

CostB = 0.19x

Setting the two costs equal, we get:

27 + 0.15x = 0.19x

Simplifying the equation, we get:

0.04x = 27

Solving for x, we get:

x = 675

Therefore, when the number of minutes of calls is 675, the two plans cost the same.

To find the cost when the two plans cost the same, we can substitute x = 675 into either CostA or CostB. For example, using CostA, we get:

CostA = 27 + 0.15(675) = 27 + 101.25 = $128.25

Therefore, when the number of minutes of calls is 675, the cost of both plans is $128.25.