Question

Mr. Bryant is considering two cell phone plans. Plan A charges $38 per month with an additional $0.12 per minute, while Plan B has a $20 monthly fee and charges $0.21 per minute. At what point, in terms of minutes used, does the cost become equal for both plans?

A. 150 minutes
B. 200 minutes
C. 250 minutes
D. 300 minutes

Answer 1

The cost becomes equal for both plans A and B at 200 minutes.

Step-by-step explanation:

To find the point at which the cost becomes equal for both plans A and B, we need to set up an equation and solve for the number of minutes used. Let's denote the number of minutes used as 'x'.

For Plan A, the cost can be represented as: $38 + $0.12x

For Plan B, the cost can be represented as: $20 + $0.21x

We can set up the equation: $38 + $0.12x = $20 + $0.21x

Solving this equation, we get 0.09x = 18

x = 200

Therefore, the cost becomes equal for both plans at 200 minutes.