Question

A phone company offers two packages of service. Package A is $35.00 per month with an additional charge of $0.15 per minute for long distance. Package B is $50.00 per month with an additional charge of $0.10 per minute for long distance. How many minutes have to be used for the costs of both plans to be the same?

Answer 1

at 300 minutes, the cost of both plans are equal

Explanation:

Package A: f(c) = 35 + .15c

Package B: f(c) = 50 + .10c

to answer the question we can set both expressions equal to each other and solve for 'c'

35 + .15c = 50 + .10c

35 + .05c = 50

.05c = 15

c = 15/.05

c = 300